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A159489 Numerator of Bernoulli(n, 1/12). 2
1, -5, 13, 55, -2851, -3245, 427363, 473935, -61949131, -123108821, 44665749215, 49265523175, -889173917551201, -28014998053757, 1297189933409461, 21455729885490175, -96521711874559753547, -21286177612465196453, 168569517408863607520801 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..250

MATHEMATICA

Numerator[BernoulliB[Range[0, 30], 1/12]] (* Harvey P. Dale, Oct 22 2011 *)

PROG

(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)* bernfrac(n-k)*(1/12)^k)), ", ")) \\ G. C. Greubel, Jul 09 2018

(PARI) a(n) = numerator(subst(bernpol(n, x), x, 1/12)); \\ Michel Marcus, Jul 10 2018

(Magma) [Numerator((&+[Binomial(n, k)*Bernoulli(n-k)*(1/12)^k: k in [0..n]])): n in [0..30]]; // G. C. Greubel, Jul 09 2018

CROSSREFS

For denominators see A159490.

Sequence in context: A149547 A149548 A176648 * A353287 A149549 A149550

Adjacent sequences: A159486 A159487 A159488 * A159490 A159491 A159492

KEYWORD

sign,frac

AUTHOR

N. J. A. Sloane, Nov 08 2009

STATUS

approved

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Last modified November 27 06:50 EST 2022. Contains 358362 sequences. (Running on oeis4.)