History of Mahler measures of $1+x_1+\dots+x_{n-1}$ (short random walks)

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2026-09-18 03:56 bmatschke interactive say how the values approach (log n - gamma)/2, and why the table stops at 200 current reviewed
2026-09-17 22:52 zeta3 generator mu_200 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:51 zeta3 generator mu_199 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:51 zeta3 generator mu_198 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:51 zeta3 generator mu_197 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:50 zeta3 generator mu_196 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:50 zeta3 generator mu_195 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:49 zeta3 generator mu_194 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:49 zeta3 generator mu_193 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:48 zeta3 generator mu_192 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:48 zeta3 generator mu_191 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:47 zeta3 generator mu_190 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:47 zeta3 generator mu_189 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:46 zeta3 generator mu_188 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:46 zeta3 generator mu_187 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:45 zeta3 generator mu_186 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:45 zeta3 generator mu_185 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:44 zeta3 generator mu_184 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:44 zeta3 generator mu_183 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:43 zeta3 generator mu_182 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:43 zeta3 generator mu_181 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:42 zeta3 generator mu_180 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:42 zeta3 generator mu_179 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:42 zeta3 generator mu_178 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:41 zeta3 generator mu_177 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:41 zeta3 generator mu_176 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:40 zeta3 generator mu_175 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:40 zeta3 generator mu_174 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:39 zeta3 generator mu_173 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:39 zeta3 generator mu_172 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:39 zeta3 generator mu_171 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:38 zeta3 generator mu_170 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:38 zeta3 generator mu_169 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:37 zeta3 generator mu_168 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:37 zeta3 generator mu_167 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:36 zeta3 generator mu_166 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:36 zeta3 generator mu_165 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:36 zeta3 generator mu_164 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:35 zeta3 generator mu_163 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:35 zeta3 generator mu_162 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:34 zeta3 generator mu_161 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:34 zeta3 generator mu_160 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:33 zeta3 generator mu_159 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:33 zeta3 generator mu_158 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:33 zeta3 generator mu_157 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:32 zeta3 generator mu_156 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:32 zeta3 generator mu_155 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:31 zeta3 generator mu_154 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:31 zeta3 generator mu_153 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:30 zeta3 generator mu_152 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:30 zeta3 generator mu_151 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:29 zeta3 generator mu_150 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:29 zeta3 generator mu_149 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:29 zeta3 generator mu_148 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:28 zeta3 generator mu_147 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:28 zeta3 generator mu_146 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:27 zeta3 generator mu_145 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:27 zeta3 generator mu_144 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:26 zeta3 generator mu_143 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:26 zeta3 generator mu_142 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:25 zeta3 generator mu_141 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:24 zeta3 generator mu_140 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:24 zeta3 generator mu_139 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:23 zeta3 generator mu_138 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:22 zeta3 generator mu_137 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:22 zeta3 generator mu_136 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:21 zeta3 generator mu_135 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:20 zeta3 generator mu_134 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:20 zeta3 generator mu_133 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:19 zeta3 generator mu_132 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:19 zeta3 generator mu_131 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:18 zeta3 generator mu_130 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:18 zeta3 generator mu_129 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:18 zeta3 generator mu_128 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:17 zeta3 generator mu_127 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:17 zeta3 generator mu_126 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:16 zeta3 generator mu_125 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:16 zeta3 generator mu_124 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:15 zeta3 generator mu_123 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:15 zeta3 generator mu_122 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:15 zeta3 generator mu_121 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:14 zeta3 generator mu_120 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:14 zeta3 generator mu_119 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:13 zeta3 generator mu_118 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:13 zeta3 generator mu_117 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:12 zeta3 generator mu_116 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:12 zeta3 generator mu_115 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:12 zeta3 generator mu_114 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:11 zeta3 generator mu_113 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:11 zeta3 generator mu_112 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:10 zeta3 generator mu_111 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:10 zeta3 generator mu_110 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:09 zeta3 generator mu_109 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:09 zeta3 generator mu_108 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:09 zeta3 generator mu_107 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:08 zeta3 generator mu_106 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:08 zeta3 generator mu_105 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:07 zeta3 generator mu_104 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:07 zeta3 generator mu_103 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:07 zeta3 generator mu_102 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:06 zeta3 generator mu_101 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:06 zeta3 generator mu_100 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:05 zeta3 generator mu_99 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:05 zeta3 generator mu_98 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:04 zeta3 generator mu_97 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:04 zeta3 generator mu_96 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:04 zeta3 generator mu_95 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:03 zeta3 generator mu_94 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:03 zeta3 generator mu_93 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:02 zeta3 generator mu_92 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:02 zeta3 generator mu_91 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:01 zeta3 generator mu_90 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:01 zeta3 generator mu_89 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:01 zeta3 generator mu_88 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:00 zeta3 generator mu_87 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 22:00 zeta3 generator mu_86 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:59 zeta3 generator mu_85 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:59 zeta3 generator mu_84 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:58 zeta3 generator mu_83 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:58 zeta3 generator mu_82 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:58 zeta3 generator mu_81 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:57 zeta3 generator mu_80 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:57 zeta3 generator mu_79 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:56 zeta3 generator mu_78 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:56 zeta3 generator mu_77 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:56 zeta3 generator mu_76 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:55 zeta3 generator mu_75 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:55 zeta3 generator mu_74 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:54 zeta3 generator mu_73 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:54 zeta3 generator mu_72 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:53 zeta3 generator mu_71 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:52 zeta3 generator mu_70 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:51 zeta3 generator mu_69 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:49 zeta3 generator mu_68 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:48 zeta3 generator mu_67 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:47 zeta3 generator mu_66 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:46 zeta3 generator mu_65 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:45 zeta3 generator mu_64 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:44 zeta3 generator mu_63 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:43 zeta3 generator mu_62 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:41 zeta3 generator mu_61 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:39 zeta3 generator mu_60 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:38 zeta3 generator mu_59 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:36 zeta3 generator mu_58 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:34 zeta3 generator mu_57 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:33 zeta3 generator mu_56 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:31 zeta3 table-ideas@1.102+e955c1fb mu_55 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:29 zeta3 table-ideas@1.102+e955c1fb mu_54 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:27 zeta3 table-ideas@1.102+e955c1fb mu_53 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:26 zeta3 table-ideas@1.102+e955c1fb mu_52 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:22 zeta3 table-ideas@1.102+e955c1fb mu_51 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:20 zeta3 table-ideas@1.102+e955c1fb mu_50 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:17 zeta3 table-ideas@1.102+e955c1fb mu_49 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:15 zeta3 table-ideas@1.102+e955c1fb mu_48 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:12 zeta3 table-ideas@1.102+e955c1fb mu_47 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:08 zeta3 table-ideas@1.102+e955c1fb mu_46 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:05 zeta3 table-ideas@1.102+e955c1fb mu_45 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 21:02 zeta3 table-ideas@1.102+e955c1fb mu_44 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:58 zeta3 table-ideas@1.102+e955c1fb mu_43 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:55 zeta3 table-ideas@1.102+e955c1fb mu_42 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:48 zeta3 table-ideas@1.102+e955c1fb mu_41 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:45 zeta3 table-ideas@1.102+e955c1fb mu_40 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:37 zeta3 table-ideas@1.102+e955c1fb mu_39 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:32 zeta3 table-ideas@1.102+e955c1fb mu_38 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:25 zeta3 table-ideas@1.102+e955c1fb mu_37 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:21 zeta3 table-ideas@1.102+e955c1fb mu_36 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:10 zeta3 table-ideas@1.102+e955c1fb mu_35 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 20:07 zeta3 table-ideas@1.102+e955c1fb mu_34 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:58 zeta3 table-ideas@1.102+e955c1fb mu_33 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:56 zeta3 table-ideas@1.102+e955c1fb mu_32 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:43 zeta3 table-ideas@1.102+e955c1fb mu_31 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:41 zeta3 table-ideas@1.102+e955c1fb mu_30 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:30 zeta3 table-ideas@1.102+e955c1fb mu_29 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:27 zeta3 table-ideas@1.102+e955c1fb mu_28 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:16 zeta3 table-ideas@1.102+e955c1fb mu_27 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:13 zeta3 table-ideas@1.102+e955c1fb mu_26 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 19:02 zeta3 table-ideas@1.102+e955c1fb mu_25 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:59 zeta3 table-ideas@1.102+e955c1fb mu_24 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:48 zeta3 table-ideas@1.102+e955c1fb mu_23 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:43 zeta3 table-ideas@1.102+e955c1fb mu_22 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:32 zeta3 table-ideas@1.102+e955c1fb mu_21 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:28 zeta3 generator mu_20 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:17 zeta3 generator mu_19 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:13 zeta3 generator mu_18 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 18:01 zeta3 generator mu_17 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:57 zeta3 generator mu_16 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:46 zeta3 generator mu_15 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:40 zeta3 generator mu_14 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:26 zeta3 generator mu_13 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:18 zeta3 table-ideas@1.102+e955c1fb mu_12 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:05 zeta3 table-ideas@1.102+e955c1fb mu_11 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 17:00 zeta3 table-ideas@1.102+e955c1fb mu_10 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:48 zeta3 table-ideas@1.102+e955c1fb mu_9 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:42 zeta3 table-ideas@1.102+e955c1fb mu_8 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:27 zeta3 table-ideas@1.102+e955c1fb mu_7 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 16:02 zeta3 table-ideas@1.102+e955c1fb mu_7 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-17 15:59 bmatschke interactive say how the values from n = 7 on were obtained: the Bessel integral of Borwein, Straub, Wan and Zudilin, between the zeros of J_0, at two working precisions, checked first against the closed forms for mu_3 and mu_4
2026-09-17 15:39 zeta3 table-ideas@1.102+e955c1fb mu_7 from the Bessel integral of Borwein, Straub, Wan and Zudilin, integrated between the zeros of J_0; the method reproduces Smyth's closed forms at n = 3 and 4
2026-09-16 21:10 zeta3 table-repair@1.109+64cc4f29 move Mahler integral out of definition
2026-09-16 21:09 zeta3 table-repair@1.109+64cc4f29 clarify Mahler notation and eta-value status

What changed between 2026-09-17 22:52 and 2026-09-18 03:56

from line 22 (12 lines, 8 more than before) @@ -22,4 +22,12 @@
     numerical confirmations to 600 and 80 decimal places respectively CITE{BSWZ},     and Straub and Zudilin review the later short-walk literature CITE{StraubZudilin}.+  comment-asymptotics: 'The values approach $\tfrac12(\log n-\gamma)$ from above:+    the entries here give $n\bigl(\mu_n-\tfrac12(\log n-\gamma)\bigr)=0.12508667\ldots$+    at $n=200$, tending to $1/8$, and the next correction is about $0.01736/n^2$.+    At $n=200$ the two terms $\tfrac12(\log n-\gamma)+\tfrac{1}{8n}$ agree with $\mu_{200}$+    to six decimal digits only, so the fifty digits stored for each $n$ are not predicted+    by the asymptotics. The table stops at $n=200$ by choice and not by cost: $J_0(x)^n$+    decays like $x^{-n/2}$, so a value from CITE{formula-bessel} takes less work as+    $n$ grows.' Formulas:   formula-mahler: For a polynomial $P$ in $k$ variables, $m(P)=\int_{[0,1]^k}\log|P(e^{2\pi
from line 136 (212 lines, 392 fewer than before) @@ -128,604 +136,212 @@
   number-header: $\mu_n$ Numbers:-- comment: Smyth's value $\mu_3=\mathrm{Cl}_2(\pi/3)/\pi=\frac{3\sqrt3}{4\pi}L(2,\chi_{-3})$.-  params:-    n: '3'-  number: '0.32306594721945051409363651072380639407224184078059'-- comment: Smyth's value $\mu_4=7\zeta(3)/(2\pi^2)$.-  params:-    n: '4'-  number: '0.42627839881750579092352142659616687305800676962964'-- comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral-    CITE{formula-rv5}; Borwein, Straub, Wan and Zudilin confirmed this numerically-    to 600 decimal places CITE{BSWZ}.-  params:-    n: '5'-  number: '0.54441256175218558519587806274502767666605280202853'-- comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral-    CITE{formula-rv6}; Borwein, Straub, Wan and Zudilin confirmed this numerically-    to 80 decimal places CITE{BSWZ}.-  params:-    n: '6'-  number: '0.62731707483690980718358664940461715251475544677472'-- params:-    n: '7'-  number: '0.70292629247696726678782394439522698211409870734036'-- params:-    n: '8'-  number: '0.76683108806961275701405175616677786312599958330277'-- params:-    n: '9'-  number: '0.82415623953238869482052282484961993900965218979887'-- params:-    n: '10'-  number: '0.87532865811448453408495821795044968468699477558650'-- params:-    n: '11'-  number: '0.92185088673265369756589152797032793838897337911216'-- params:-    n: '12'-  number: '0.96437578931955973661558078511794110995312118915484'-- params:-    n: '13'-  number: '1.0035835304893201106044538743208630678161512767344'-- params:-    n: '14'-  number: '1.0399353083414942797155439822506320153315071867840'-- params:-    n: '15'-  number: '1.0738262172568560361842527815003012679261311018007'-- params:-    n: '16'-  number: '1.1055653432007483833873406105210686981784482021274'-- params:-    n: '17'-  number: '1.1354107037674110729532392500429850075491579196068'-- params:-    n: '18'-  number: '1.1635750742159058991157464496624842897920815280862'-- params:-    n: '19'-  number: '1.1902378646444420543605782001962175319482443395698'-- params:-    n: '20'-  number: '1.2155509916488112621332092556227863885614917915569'-- params:-    n: '21'-  number: '1.2396445218138194484770407126508737950376274991631'-- params:-    n: '22'-  number: '1.2626305503381166068793048205526759349514404819086'-- params:-    n: '23'-  number: '1.2846064131526907910836576958870754556021479068505'-- params:-    n: '24'-  number: '1.3056571499292296515274590218273370827741209593247'-- params:-    n: '25'-  number: '1.3258574988525685385706252559404011448100268445135'-- params:-    n: '26'-  number: '1.3452734927753255590497508719516495351310169955952'-- params:-    n: '27'-  number: '1.3639637617393380351637983352681897157816417357688'-- params:-    n: '28'-  number: '1.3819805991129638675001940124766754886249700346555'-- params:-    n: '29'-  number: '1.3993708431121593694523323205727774721323322361479'-- params:-    n: '30'-  number: '1.4161766099427499297354865816196209045424106070005'-- params:-    n: '31'-  number: '1.4324359078908890337931505693047475891528597246144'-- params:-    n: '32'-  number: '1.4481831546957277096734328364120036982525480599618'-- params:-    n: '33'-  number: '1.4634496159778495854154822260927512130854408369597'-- params:-    n: '34'-  number: '1.4782637787283674659437376950495542525318124825437'-- params:-    n: '35'-  number: '1.4926516710770066812975632617733973346779678373610'-- params:-    n: '36'-  number: '1.5066371373484661534152801073191897819987005019009'-- params:-    n: '37'-  number: '1.5202420757062095912909461177595548193669763309686'-- params:-    n: '38'-  number: '1.5334866443277113996544507264378061969532435976464'-- params:-    n: '39'-  number: '1.5463894409826094883391187704089468458151920562272'-- params:-    n: '40'-  number: '1.5589676600272793803012481004307138221734828353130'-- params:-    n: '41'-  number: '1.5712372301402387391681312150663472454955683459898'-- params:-    n: '42'-  number: '1.5832129355655052469811124571910609417849397128012'-- params:-    n: '43'-  number: '1.5949085231780737178042936100786624659362516474088'-- params:-    n: '44'-  number: '1.6063367973154949333751188621688885006599116610884'-- params:-    n: '45'-  number: '1.6175097040155269724108525748334791433185285445952'-- params:-    n: '46'-  number: '1.6284384060489602281703396858705023899322620805458'-- params:-    n: '47'-  number: '1.6391333499287685552470046295484924314846848077895'-- params:-    n: '48'-  number: '1.6496043259036208833517945791408319001778054597005'-- params:-    n: '49'-  number: '1.6598605217990725700701169336350827182346327993675'-- params:-    n: '50'-  number: '1.6699105714483063467267316894143229748693239866594'-- params:-    n: '51'-  number: '1.6797625983519841401366461862922361452969831569130'-- params:-    n: '52'-  number: '1.6894242551202751652337664526593024346877405367260'-- params:-    n: '53'-  number: '1.6989027591767451851766503480759962860339280700598'-- params:-    n: '54'-  number: '1.7082049251413311027626440223777756459493167661282'-- params:-    n: '55'-  number: '1.7173371942562894085596569737942400522004321628408'-- params:-    n: '56'-  number: '1.7263056611733236356302837507734212439516123247290'-- params:-    n: '57'-  number: '1.7351160983808515055087582504381007820977589120454'-- params:-    n: '58'-  number: '1.7437739785165636046539676784189445123379306519329'-- params:-    n: '59'-  number: '1.7522844947812196552226749473601664736216470735638'-- params:-    n: '60'-  number: '1.7606525796443325022190426736327804398223611581351'-- params:-    n: '61'-  number: '1.7688829220104246873621710385928855138995585096713'-- params:-    n: '62'-  number: '1.7769799829954225473134370111645874453583262589774'-- params:-    n: '63'-  number: '1.7849480104460701264477415178198785641001865859628'-- params:-    n: '64'-  number: '1.7927910523206557935149394379685661302108161310023'-- params:-    n: '65'-  number: '1.8005129690365573839382504249572776645745677593196'-- params:-    n: '66'-  number: '1.8081174448788802805808241116930857136766505599306'-- params:-    n: '67'-  number: '1.8156079985545773707188906200495053976739178379679'-- params:-    n: '68'-  number: '1.8229879929677215022333374766349317201537196141077'-- params:-    n: '69'-  number: '1.8302606442838971341320760831563496788936646623780'-- params:-    n: '70'-  number: '1.8374290303448574620683286375719747707609659330562'-- params:-    n: '71'-  number: '1.8444960984885440208182758915963898321491080427379'-- params:-    n: '72'-  number: '1.8514646728241909054987901331465405444235408920492'-- params:-    n: '73'-  number: 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'2.2858667359483495061162069176556889727100256241776'-- params:-    n: '173'-  number: '2.2887610872102902014585662438637810229037474994952'-- params:-    n: '174'-  number: '2.2916387803897711336929363874687762782354034757509'-- params:-    n: '175'-  number: '2.2945000061363083572442019732366055716410237750062'-- params:-    n: '176'-  number: '2.2973449518451086183655854002728327532475481210468'-- params:-    n: '177'-  number: '2.3001738017307165003426216424558925285764412900978'-- params:-    n: '178'-  number: '2.3029867368985899388550451498870984543470200834218'-- params:-    n: '179'-  number: '2.3057839354146736439504867101248432386485261517009'-- params:-    n: '180'-  number: '2.3085655723730372571615487027577791572884515138488'-- params:-    n: '181'-  number: '2.3113318199616424842265238583414517627804136087355'-- params:-    n: '182'-  number: '2.3140828475263009697189865876145980184573502618267'-- params:-    n: '183'-  number: '2.3168188216328823140427002194389541059468111304680'-- params:-    n: '184'-  number: '2.3195399061278293704010330121866827997355203209320'-- params:-    n: '185'-  number: '2.3222462621970357944867700979214794106112952992127'-- params:-    n: '186'-  number: '2.3249380484231387480113786426861108828484806638128'-- params:-    n: '187'-  number: '2.3276154208412776743091715778826686813846819436417'-- params:-    n: '188'-  number: '2.3302785329933681658574808595786241116116201918141'-- params:-    n: '189'-  number: '2.3329275359809381256203246572988274294314631100101'-- params:-    n: '190'-  number: '2.3355625785165716828338704607987238908618843259284'-- params:-    n: '191'-  number: '2.3381838069740046555910572468185694793646752105022'-- params:-    n: '192'-  number: '2.3407913654369137539224304180301697708358216145139'-- params:-    n: '193'-  number: '2.3433853957464401847607732795926463967812168732813'-- params:-    n: '194'-  number: '2.3459660375474868511364269783549707230266330995549'-- params:-    n: '195'-  number: '2.3485334283338269292544706750568366923677000659337'-- params:-    n: '196'-  number: '2.3510877034920602559797409316262971397934148527944'-- params:-    n: '197'-  number: '2.3536289963444526630675711771946796217575530386436'-- params:-    n: '198'-  number: '2.3561574381906921507268638354899743020843286015762'-- params:-    n: '199'-  number: '2.3586731583485945994132021040566845833150888010219'-- params:-    n: '200'-  number: '2.3611762841937905728675685828778736919023860403764'+  '3':+    comment: Smyth's value $\mu_3=\mathrm{Cl}_2(\pi/3)/\pi=\frac{3\sqrt3}{4\pi}L(2,\chi_{-3})$.+    number: '0.32306594721945051409363651072380639407224184078059'+  '4':+    comment: Smyth's value $\mu_4=7\zeta(3)/(2\pi^2)$.+    number: '0.42627839881750579092352142659616687305800676962964'+  '5':+    comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral+      CITE{formula-rv5}; Borwein, Straub, Wan and Zudilin confirmed this numerically+      to 600 decimal places CITE{BSWZ}.+    number: '0.54441256175218558519587806274502767666605280202853'+  '6':+    comment: The value is conjecturally equal to the Rodriguez Villegas eta-integral+      CITE{formula-rv6}; Borwein, Straub, Wan and Zudilin confirmed this numerically+      to 80 decimal places CITE{BSWZ}.+    number: '0.62731707483690980718358664940461715251475544677472'+  '7': '0.70292629247696726678782394439522698211409870734036'+  '8': '0.76683108806961275701405175616677786312599958330277'+  '9': '0.82415623953238869482052282484961993900965218979887'+  '10': '0.87532865811448453408495821795044968468699477558650'+  '11': '0.92185088673265369756589152797032793838897337911216'+  '12': '0.96437578931955973661558078511794110995312118915484'+  '13': '1.0035835304893201106044538743208630678161512767344'+  '14': '1.0399353083414942797155439822506320153315071867840'+  '15': '1.0738262172568560361842527815003012679261311018007'+  '16': '1.1055653432007483833873406105210686981784482021274'+  '17': '1.1354107037674110729532392500429850075491579196068'+  '18': '1.1635750742159058991157464496624842897920815280862'+  '19': '1.1902378646444420543605782001962175319482443395698'+  '20': '1.2155509916488112621332092556227863885614917915569'+  '21': '1.2396445218138194484770407126508737950376274991631'+  '22': '1.2626305503381166068793048205526759349514404819086'+  '23': '1.2846064131526907910836576958870754556021479068505'+  '24': '1.3056571499292296515274590218273370827741209593247'+  '25': '1.3258574988525685385706252559404011448100268445135'+  '26': '1.3452734927753255590497508719516495351310169955952'+  '27': '1.3639637617393380351637983352681897157816417357688'+  '28': '1.3819805991129638675001940124766754886249700346555'+  '29': '1.3993708431121593694523323205727774721323322361479'+  '30': '1.4161766099427499297354865816196209045424106070005'+  '31': '1.4324359078908890337931505693047475891528597246144'+  '32': '1.4481831546957277096734328364120036982525480599618'+  '33': '1.4634496159778495854154822260927512130854408369597'+  '34': '1.4782637787283674659437376950495542525318124825437'+  '35': '1.4926516710770066812975632617733973346779678373610'+  '36': '1.5066371373484661534152801073191897819987005019009'+  '37': '1.5202420757062095912909461177595548193669763309686'+  '38': '1.5334866443277113996544507264378061969532435976464'+  '39': '1.5463894409826094883391187704089468458151920562272'+  '40': '1.5589676600272793803012481004307138221734828353130'+  '41': '1.5712372301402387391681312150663472454955683459898'+  '42': '1.5832129355655052469811124571910609417849397128012'+  '43': '1.5949085231780737178042936100786624659362516474088'+  '44': '1.6063367973154949333751188621688885006599116610884'+  '45': '1.6175097040155269724108525748334791433185285445952'+  '46': '1.6284384060489602281703396858705023899322620805458'+  '47': 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