A020544 Second Bernoulli polynomial evaluated at x=n! (multiplied by 6).

1, 1, 13, 181, 3313, 85681, 3106081, 152379361, 9753972481, 790089189121, 79009114867201, 9560105293939201, 1376655193941350401, 232654728224433715201, 45600326738788914892801, 10260073516337350497792001, 2626578820184244778524672001, 759081279033280886986727424001

Offset

0,3

Links

Paolo Xausa, Table of n, a(n) for n = 0..252

Index entries for sequences related to Bernoulli numbers.

Formula

a(n) = 6*(n!)^2 - 6*n! + 1. - Christian Krause, Jun 08 2026

Mathematica

6*BernoulliB[2, Range[0, 20]!] (* Paolo Xausa, Jun 18 2026 *)

Prog

(PARI) a(n) = 6*bernpol(2, n!) \\ Christian Krause, Jun 08 2026

Crossrefs

Sequence in context: A001570 A122571 A239902 * A009015 A067385 A097260

Adjacent sequences: A020541 A020542 A020543 * A020545 A020546 A020547

Keyword

nonn

Author

Simon Plouffe

Extensions

a(17) from Christian Krause, Jun 08 2026

Status

approved