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A051718 Numerators of column 2 of table described in A051714/A051715. 5
1, 1, 3, 1, -3, -1, 1, 1, 1, -5, -1017, 691, 601, -7, -809, 3617, 922191, -43867, -6132631, 174611, 12988703, -854513, -1552922421, 236364091, 1139644561, -8553103, -7089687053, 23749461029, 378639019356093, -8615841276005 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..627

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(3*x))/(1-exp(x))^3+5/(2*(1-exp(x)))-1/(1-exp(x))^2-5/6. - Vladimir Kruchinin, Nov 03 2015

MATHEMATICA

nmax = 29; a[0, k_] := 1/(k + 1); a[n_, k_] := a[n, k] = (k + 1)*(a[n - 1, k] - a[n - 1, k + 1]); Table[a[n, k], {n, 0, nmax}, {k, 0, nmax}] [[All, 3]] // Numerator (* Jean-Fran├žois Alcover, Oct 08 2012 *)

CROSSREFS

Cf. A051714, A051715, A051719.

Sequence in context: A121273 A063065 A324724 * A016472 A095346 A060839

Adjacent sequences:  A051715 A051716 A051717 * A051719 A051720 A051721

KEYWORD

sign,easy,nice,frac

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from James A. Sellers, Dec 08 1999

STATUS

approved

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Last modified January 22 22:16 EST 2020. Contains 331166 sequences. (Running on oeis4.)