Where each entry of Euler polynomials $E_n$ came from

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51 entries.

n value last changed by
0 1 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
1 x - 1/2 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
2 x^2 - x 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
3 x^3 - 3/2*x^2 + 1/4 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
4 x^4 - 2*x^3 + x 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
5 x^5 - 5/2*x^4 + 5/2*x^2 - 1/2 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
6 x^6 - 3*x^5 + 5*x^3 - 3*x 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
7 x^7 - 7/2*x^6 + 35/4*x^4 - 21/2*x^2 + 17/8 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
8 x^8 - 4*x^7 + 14*x^5 - 28*x^3 + 17*x 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
9 x^9 - 9/2*x^8 + 21*x^6 - 63*x^4 + 153/2*x^2 - 31/2 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
10 x^10 - 5*x^9 + 30*x^7 - 126*x^5 + 255*x^3 - 155*x 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
11 x^11 - 11/2*x^10 + 165/4*x^8 - 231*x^6 + 2805/4*x^4 - 1705/2*x^2 + 69… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
12 x^12 - 6*x^11 + 55*x^9 - 396*x^7 + 1683*x^5 - 3410*x^3 + 2073*x 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
13 x^13 - 13/2*x^12 + 143/2*x^10 - 1287/2*x^8 + 7293/2*x^6 - 22165/2*x^4… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
14 x^14 - 7*x^13 + 91*x^11 - 1001*x^9 + 7293*x^7 - 31031*x^5 + 62881*x^3… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
15 x^15 - 15/2*x^14 + 455/4*x^12 - 3003/2*x^10 + 109395/8*x^8 - 155155/2… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
16 x^16 - 8*x^15 + 140*x^13 - 2184*x^11 + 24310*x^9 - 177320*x^7 + 75457… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
17 x^17 - 17/2*x^16 + 170*x^14 - 3094*x^12 + 41327*x^10 - 376805*x^8 + 2… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
18 x^18 - 9*x^17 + 204*x^15 - 4284*x^13 + 67626*x^11 - 753610*x^9 + 5497… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
19 x^19 - 19/2*x^18 + 969/4*x^16 - 5814*x^14 + 214149/2*x^12 - 1431859*x… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
20 x^20 - 10*x^19 + 285*x^17 - 7752*x^15 + 164730*x^13 - 2603380*x^11 + … 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
21 x^21 - 21/2*x^20 + 665/2*x^18 - 20349/2*x^16 + 247095*x^14 - 4555915*… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
22 x^22 - 11*x^21 + 385*x^19 - 13167*x^17 + 362406*x^15 - 7710010*x^13 +… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
23 x^23 - 23/2*x^22 + 1771/4*x^20 - 33649/2*x^18 + 4167669/8*x^16 - 1266… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
24 x^24 - 12*x^23 + 506*x^21 - 21252*x^19 + 735471*x^17 - 20266312*x^15 … 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
25 x^25 - 25/2*x^24 + 575*x^22 - 26565*x^20 + 2042975/2*x^18 - 63332225/… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
26 x^26 - 13*x^25 + 650*x^23 - 32890*x^21 + 1397825*x^19 - 48430525*x^17… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
27 x^27 - 27/2*x^26 + 2925/4*x^24 - 40365*x^22 + 7548255/4*x^20 - 145291… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
28 x^28 - 14*x^27 + 819*x^25 - 49140*x^23 + 2516085*x^21 - 107056950*x^1… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
29 x^29 - 29/2*x^28 + 1827/2*x^26 - 118755/2*x^24 + 6633315/2*x^22 - 310… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
30 x^30 - 15*x^29 + 1015*x^27 - 71253*x^25 + 4326075*x^23 - 221760825*x^… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
31 x^31 - 31/2*x^30 + 4495/4*x^28 - 169911/2*x^26 + 44702775/8*x^24 - 62… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
32 x^32 - 16*x^31 + 1240*x^29 - 100688*x^27 + 7152444*x^25 - 434756400*x… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
33 x^33 - 33/2*x^32 + 1364*x^30 - 118668*x^28 + 9078102*x^26 - 597790050… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
34 x^34 - 17*x^33 + 1496*x^31 - 139128*x^29 + 11431684*x^27 - 812994468*… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
35 x^35 - 35/2*x^34 + 6545/4*x^32 - 162316*x^30 + 14289605*x^28 - 109441… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
36 x^36 - 18*x^35 + 1785*x^33 - 188496*x^31 + 17738820*x^29 - 1459220840… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
37 x^37 - 37/2*x^36 + 3885/2*x^34 - 435897/2*x^32 + 21877878*x^30 - 1928… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
38 x^38 - 19*x^37 + 2109*x^35 - 250971*x^33 + 26818044*x^31 - 2526680420… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
39 x^39 - 39/2*x^38 + 9139/4*x^36 - 575757/2*x^34 + 261475929/8*x^32 - 3… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
40 x^40 - 20*x^39 + 2470*x^37 - 329004*x^35 + 39617565*x^33 - 4238302640… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
41 x^41 - 41/2*x^40 + 2665*x^38 - 374699*x^36 + 95548245/2*x^34 - 108606… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
42 x^42 - 21*x^41 + 2870*x^39 - 425334*x^37 + 57328947*x^35 - 6911323055… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
43 x^43 - 43/2*x^42 + 12341/4*x^40 - 481299*x^38 + 273904969/4*x^36 - 17… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
44 x^44 - 22*x^43 + 3311*x^41 - 543004*x^39 + 81431207*x^37 - 1098842287… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
45 x^45 - 45/2*x^44 + 7095/2*x^42 - 1221759/2*x^40 + 192863385/2*x^38 - … 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
46 x^46 - 23*x^45 + 3795*x^43 - 685377*x^41 + 113739945*x^39 - 170766031… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
47 x^47 - 47/2*x^46 + 16215/4*x^44 - 1533939/2*x^42 + 1069155483/8*x^40 … 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
48 x^48 - 24*x^47 + 4324*x^45 - 856152*x^43 + 156461778*x^41 - 259951529… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
49 x^49 - 49/2*x^48 + 4606*x^46 - 953442*x^44 + 182538741*x^42 - 3184406… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)
50 x^50 - 25*x^49 + 4900*x^47 - 1059380*x^45 + 212254350*x^43 - 38834222… 2026-08-26 — bmatschke (run EulerPolynomials-1787778960)