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A051720 Numerators of column 3 of table described in A051714/A051715. 5
1, 1, 2, 2, -1, -4, -1, 8, 7, -44, -2663, 368, 1247, -244, -1511, 43416, 1623817, -276356, -10405289, -21376, 21491081, 32209348, -2523785339, -107638072, 1827648887, 842271812, -11254630547, -17380760743952, 596303510772251 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..626

M. Kaneko, The Akiyama-Tanigawa algorithm for Bernoulli numbers, J. Integer Sequences, 3 (2000), #00.2.9.

FORMULA

a(n) = numerator(n! * [x^n] f(x)) where f(x) =(x*exp(4*x))/(1-exp(x))^4+13/(3*(1-exp(x)))-7/(2*(1-exp(x))^2)+1/(1-exp(x))^3-13/12. - Vladimir Kruchinin, Nov 03 2015

MATHEMATICA

a[0, k_] := 1/(k+1); a[n_, k_] := a[n, k] = (k+1)*(a[n-1, k] - a[n-1, k+1]); a[n_] := a[n, 3] // Numerator; Table[a[n], {n, 0, 28}] (* Jean-Fran├žois Alcover, Sep 17 2012 *)

CROSSREFS

Cf. A051721.

Sequence in context: A263232 A134666 A129712 * A022693 A174498 A146478

Adjacent sequences:  A051717 A051718 A051719 * A051721 A051722 A051723

KEYWORD

sign,easy,nice

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from James A. Sellers, Dec 08 1999

STATUS

approved

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Last modified November 12 19:33 EST 2019. Contains 329078 sequences. (Running on oeis4.)