Where each entry of Bernoulli polynomials $B_n$ came from

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51 entries.

n value last changed by
0 1 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
1 x - 1/2 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
2 x^2 - x + 1/6 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
3 x^3 - 3/2*x^2 + 1/2*x 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
4 x^4 - 2*x^3 + x^2 - 1/30 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
5 x^5 - 5/2*x^4 + 5/3*x^3 - 1/6*x 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
6 x^6 - 3*x^5 + 5/2*x^4 - 1/2*x^2 + 1/42 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
7 x^7 - 7/2*x^6 + 7/2*x^5 - 7/6*x^3 + 1/6*x 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
8 x^8 - 4*x^7 + 14/3*x^6 - 7/3*x^4 + 2/3*x^2 - 1/30 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
9 x^9 - 9/2*x^8 + 6*x^7 - 21/5*x^5 + 2*x^3 - 3/10*x 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
10 x^10 - 5*x^9 + 15/2*x^8 - 7*x^6 + 5*x^4 - 3/2*x^2 + 5/66 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
11 x^11 - 11/2*x^10 + 55/6*x^9 - 11*x^7 + 11*x^5 - 11/2*x^3 + 5/6*x 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
12 x^12 - 6*x^11 + 11*x^10 - 33/2*x^8 + 22*x^6 - 33/2*x^4 + 5*x^2 - 691/… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
13 x^13 - 13/2*x^12 + 13*x^11 - 143/6*x^9 + 286/7*x^7 - 429/10*x^5 + 65/… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
14 x^14 - 7*x^13 + 91/6*x^12 - 1001/30*x^10 + 143/2*x^8 - 1001/10*x^6 + … 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
15 x^15 - 15/2*x^14 + 35/2*x^13 - 91/2*x^11 + 715/6*x^9 - 429/2*x^7 + 45… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
16 x^16 - 8*x^15 + 20*x^14 - 182/3*x^12 + 572/3*x^10 - 429*x^8 + 1820/3*… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
17 x^17 - 17/2*x^16 + 68/3*x^15 - 238/3*x^13 + 884/3*x^11 - 2431/3*x^9 +… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
18 x^18 - 9*x^17 + 51/2*x^16 - 102*x^14 + 442*x^12 - 7293/5*x^10 + 3315*… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
19 x^19 - 19/2*x^18 + 57/2*x^17 - 646/5*x^15 + 646*x^13 - 12597/5*x^11 +… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
20 x^20 - 10*x^19 + 95/3*x^18 - 323/2*x^16 + 6460/7*x^14 - 4199*x^12 + 4… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
21 x^21 - 21/2*x^20 + 35*x^19 - 399/2*x^17 + 1292*x^15 - 6783*x^13 + 293… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
22 x^22 - 11*x^21 + 77/2*x^20 - 1463/6*x^18 + 3553/2*x^16 - 10659*x^14 +… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
23 x^23 - 23/2*x^22 + 253/6*x^21 - 1771/6*x^19 + 4807/2*x^17 - 81719/5*x… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
24 x^24 - 12*x^23 + 46*x^22 - 1771/5*x^20 + 9614/3*x^18 - 245157/10*x^16… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
25 x^25 - 25/2*x^24 + 50*x^23 - 1265/3*x^21 + 12650/3*x^19 - 72105/2*x^1… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
26 x^26 - 13*x^25 + 325/6*x^24 - 1495/3*x^22 + 16445/3*x^20 - 312455/6*x… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
27 x^27 - 27/2*x^26 + 117/2*x^25 - 585*x^23 + 49335/7*x^21 - 148005/2*x^… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
28 x^28 - 14*x^27 + 63*x^26 - 1365/2*x^24 + 8970*x^22 - 207207/2*x^20 + … 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
29 x^29 - 29/2*x^28 + 203/3*x^27 - 7917/10*x^25 + 11310*x^23 - 286143/2*… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
30 x^30 - 15*x^29 + 145/2*x^28 - 1827/2*x^26 + 28275/2*x^24 - 390195/2*x… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
31 x^31 - 31/2*x^30 + 155/2*x^29 - 6293/6*x^27 + 35061/2*x^25 - 525915/2… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
32 x^32 - 16*x^31 + 248/3*x^30 - 3596/3*x^28 + 21576*x^26 - 350610*x^24 … 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
33 x^33 - 33/2*x^32 + 88*x^31 - 1364*x^29 + 79112/3*x^27 - 2314026/5*x^2… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
34 x^34 - 17*x^33 + 187/2*x^32 - 23188/15*x^30 + 672452/21*x^28 - 302603… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
35 x^35 - 35/2*x^34 + 595/6*x^33 - 5236/3*x^31 + 115940/3*x^29 - 2353582… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
36 x^36 - 18*x^35 + 105*x^34 - 3927/2*x^32 + 46376*x^30 - 1008678*x^28 +… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
37 x^37 - 37/2*x^36 + 111*x^35 - 4403/2*x^33 + 55352*x^31 - 1286934*x^29… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
38 x^38 - 19*x^37 + 703/6*x^36 - 4921/2*x^34 + 131461/2*x^32 - 8150582/5… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
39 x^39 - 39/2*x^38 + 247/2*x^37 - 27417/10*x^35 + 155363/2*x^33 - 10253… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
40 x^40 - 20*x^39 + 130*x^38 - 9139/3*x^36 + 91390*x^34 - 5126979/2*x^32… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
41 x^41 - 41/2*x^40 + 410/3*x^39 - 10127/3*x^37 + 749398/7*x^35 - 636988… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
42 x^42 - 21*x^41 + 287/2*x^40 - 3731*x^38 + 374699/3*x^36 - 7868679/2*x… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
43 x^43 - 43/2*x^42 + 301/2*x^41 - 12341/3*x^39 + 435461/3*x^37 - 483361… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
44 x^44 - 22*x^43 + 473/3*x^42 - 135751/30*x^40 + 504218/3*x^38 - 177232… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
45 x^45 - 45/2*x^44 + 165*x^43 - 9933/2*x^41 + 193930*x^39 - 14370213/2*… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
46 x^46 - 23*x^45 + 345/2*x^44 - 10879/2*x^42 + 446039/2*x^40 - 17395521… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
47 x^47 - 47/2*x^46 + 1081/6*x^45 - 11891/2*x^43 + 511313/2*x^41 - 20963… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
48 x^48 - 24*x^47 + 188*x^46 - 6486*x^44 + 2045252/7*x^42 - 62891499/5*x… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
49 x^49 - 49/2*x^48 + 196*x^47 - 105938/15*x^45 + 332948*x^43 - 75163011… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)
50 x^50 - 25*x^49 + 1225/6*x^48 - 23030/3*x^46 + 378350*x^44 - 17895955*… 2026-08-26 — bmatschke (run BernoulliPolynomials-1787778956)