A020546 4th Bernoulli polynomial evaluated at x=n! (multiplied by 30).

-1, -1, 119, 26999, 9141119, 6117551999, 8039777471999, 19349557795007999, 79283315950497791999, 520200772303582605311999, 5202033526748670061363199999, 76163011026003598026877747199999, 1579316269171414235892829146316799999

Offset

0,3

Links

Table of n, a(n) for n=0..12.

Index entries for sequences related to Bernoulli numbers.

Formula

a(n) = 30 * B_4(n!) where B_4(x) = x^4 - 2*x^3 + x^2 - 1/30. - Sean A. Irvine, Apr 23 2019

Mathematica

Table[With[{x=n!}, 30(x^4-2x^3+x^2-1/30)], {n, 0, 20}] (* Harvey P. Dale, May 14 2026 *)

Prog

(PARI) a(n) = subst(bernpol(4, x), x, n!)*30; \\ Michel Marcus, Apr 24 2019

Crossrefs

Sequence in context: A069328 A184330 A210044 * A323318 A192726 A395274

Adjacent sequences: A020543 A020544 A020545 * A020547 A020548 A020549

Keyword

sign

Author

Simon Plouffe

Extensions

Title corrected by Sean A. Irvine, Apr 23 2019

Status

approved