Where each entry of Sums of powers $S_p(n)$ came from

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51 entries.

p value last changed by
0 n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
1 1/2*n^2 + 1/2*n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
2 1/3*n^3 + 1/2*n^2 + 1/6*n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
3 1/4*n^4 + 1/2*n^3 + 1/4*n^2 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
4 1/5*n^5 + 1/2*n^4 + 1/3*n^3 - 1/30*n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
5 1/6*n^6 + 1/2*n^5 + 5/12*n^4 - 1/12*n^2 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
6 1/7*n^7 + 1/2*n^6 + 1/2*n^5 - 1/6*n^3 + 1/42*n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
7 1/8*n^8 + 1/2*n^7 + 7/12*n^6 - 7/24*n^4 + 1/12*n^2 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
8 1/9*n^9 + 1/2*n^8 + 2/3*n^7 - 7/15*n^5 + 2/9*n^3 - 1/30*n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
9 1/10*n^10 + 1/2*n^9 + 3/4*n^8 - 7/10*n^6 + 1/2*n^4 - 3/20*n^2 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
10 1/11*n^11 + 1/2*n^10 + 5/6*n^9 - n^7 + n^5 - 1/2*n^3 + 5/66*n 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
11 1/12*n^12 + 1/2*n^11 + 11/12*n^10 - 11/8*n^8 + 11/6*n^6 - 11/8*n^4 + … 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
12 1/13*n^13 + 1/2*n^12 + n^11 - 11/6*n^9 + 22/7*n^7 - 33/10*n^5 + 5/3*n… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
13 1/14*n^14 + 1/2*n^13 + 13/12*n^12 - 143/60*n^10 + 143/28*n^8 - 143/20… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
14 1/15*n^15 + 1/2*n^14 + 7/6*n^13 - 91/30*n^11 + 143/18*n^9 - 143/10*n^… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
15 1/16*n^16 + 1/2*n^15 + 5/4*n^14 - 91/24*n^12 + 143/12*n^10 - 429/16*n… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
16 1/17*n^17 + 1/2*n^16 + 4/3*n^15 - 14/3*n^13 + 52/3*n^11 - 143/3*n^9 +… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
17 1/18*n^18 + 1/2*n^17 + 17/12*n^16 - 17/3*n^14 + 221/9*n^12 - 2431/30*… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
18 1/19*n^19 + 1/2*n^18 + 3/2*n^17 - 34/5*n^15 + 34*n^13 - 663/5*n^11 + … 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
19 1/20*n^20 + 1/2*n^19 + 19/12*n^18 - 323/40*n^16 + 323/7*n^14 - 4199/2… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
20 1/21*n^21 + 1/2*n^20 + 5/3*n^19 - 19/2*n^17 + 1292/21*n^15 - 323*n^13… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
21 1/22*n^22 + 1/2*n^21 + 7/4*n^20 - 133/12*n^18 + 323/4*n^16 - 969/2*n^… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
22 1/23*n^23 + 1/2*n^22 + 11/6*n^21 - 77/6*n^19 + 209/2*n^17 - 3553/5*n^… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
23 1/24*n^24 + 1/2*n^23 + 23/12*n^22 - 1771/120*n^20 + 4807/36*n^18 - 81… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
24 1/25*n^25 + 1/2*n^24 + 2*n^23 - 253/15*n^21 + 506/3*n^19 - 14421/10*n… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
25 1/26*n^26 + 1/2*n^25 + 25/12*n^24 - 115/6*n^22 + 1265/6*n^20 - 24035/… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
26 1/27*n^27 + 1/2*n^26 + 13/6*n^25 - 65/3*n^23 + 16445/63*n^21 - 16445/… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
27 1/28*n^28 + 1/2*n^27 + 9/4*n^26 - 195/8*n^24 + 4485/14*n^22 - 29601/8… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
28 1/29*n^29 + 1/2*n^28 + 7/3*n^27 - 273/10*n^25 + 390*n^23 - 9867/2*n^2… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
29 1/30*n^30 + 1/2*n^29 + 29/12*n^28 - 609/20*n^26 + 1885/4*n^24 - 26013… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
30 1/31*n^31 + 1/2*n^30 + 5/2*n^29 - 203/6*n^27 + 1131/2*n^25 - 16965/2*… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
31 1/32*n^32 + 1/2*n^31 + 31/12*n^30 - 899/24*n^28 + 2697/4*n^26 - 17530… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
32 1/33*n^33 + 1/2*n^32 + 8/3*n^31 - 124/3*n^29 + 7192/9*n^27 - 70122/5*… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
33 1/34*n^34 + 1/2*n^33 + 11/4*n^32 - 682/15*n^30 + 19778/21*n^28 - 8900… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
34 1/35*n^35 + 1/2*n^34 + 17/6*n^33 - 748/15*n^31 + 23188/21*n^29 - 3362… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
35 1/36*n^36 + 1/2*n^35 + 35/12*n^34 - 1309/24*n^32 + 11594/9*n^30 - 168… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
36 1/37*n^37 + 1/2*n^36 + 3*n^35 - 119/2*n^33 + 1496*n^31 - 34782*n^29 +… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
37 1/38*n^38 + 1/2*n^37 + 37/12*n^36 - 259/4*n^34 + 6919/4*n^32 - 214489… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
38 1/39*n^39 + 1/2*n^38 + 19/6*n^37 - 703/10*n^35 + 11951/6*n^33 - 26292… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
39 1/40*n^40 + 1/2*n^39 + 13/4*n^38 - 9139/120*n^36 + 9139/4*n^34 - 5126… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
40 1/41*n^41 + 1/2*n^40 + 10/3*n^39 - 247/3*n^37 + 18278/7*n^35 - 155363… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
41 1/42*n^42 + 1/2*n^41 + 41/12*n^40 - 533/6*n^38 + 374699/126*n^36 - 37… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
42 1/43*n^43 + 1/2*n^42 + 7/2*n^41 - 287/3*n^39 + 10127/3*n^37 - 1124097… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
43 1/44*n^44 + 1/2*n^43 + 43/12*n^42 - 12341/120*n^40 + 22919/6*n^38 - 1… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
44 1/45*n^45 + 1/2*n^44 + 11/3*n^43 - 3311/30*n^41 + 38786/9*n^39 - 4790… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
45 1/46*n^46 + 1/2*n^45 + 15/4*n^44 - 473/4*n^42 + 19393/4*n^40 - 756327… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
46 1/47*n^47 + 1/2*n^46 + 23/6*n^45 - 253/2*n^43 + 10879/2*n^41 - 446039… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
47 1/48*n^48 + 1/2*n^47 + 47/12*n^46 - 1081/8*n^44 + 511313/84*n^42 - 20… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
48 1/49*n^49 + 1/2*n^48 + 4*n^47 - 2162/15*n^45 + 47564/7*n^43 - 1533939… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
49 1/50*n^50 + 1/2*n^49 + 49/12*n^48 - 2303/15*n^46 + 7567*n^44 - 357919… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)
50 1/51*n^51 + 1/2*n^50 + 25/6*n^49 - 490/3*n^47 + 75670/9*n^45 - 416185… 2026-09-09 — zeta3 with Codex CLI, table-build@a13118f (run SumsOfPowers-1788969595)