[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A159479
Numerator of Bernoulli(n, -9/11).
1
1, -29, 1201, -2610, 957359, -364530, 164387161, -40455870, 12538929119, -4363782714, 260582566855, -387500179350, 10408159409945789, -56830633987218, 3452786092345807, 6808080496813650, -50558539454655946337, -9168876820065422442, 103952495666585167545907
OFFSET
0,2
LINKS
MATHEMATICA
Table[Numerator[BernoulliB[n, -9/11]], {n, 0, 50}] (* Vincenzo Librandi, Mar 17 2014 *)
PROG
(PARI) for(n=0, 30, print1(numerator(sum(k=0, n, binomial(n, k)* bernfrac(n-k)*(-9/11)^k)), ", ")) \\ G. C. Greubel, Jul 09 2018
(PARI) a(n) = numerator(subst(bernpol(n, x), x, -9/11)); \\ Michel Marcus, Jul 10 2018
(Magma) [Numerator((&+[Binomial(n, k)*Bernoulli(n-k)*(-9/11)^k: k in [0..n]])): n in [0..30]]; // G. C. Greubel, Jul 09 2018
(GAP) List(List([0..20], n->Sum([0..n], k->Binomial(n, k)*Bernoulli(n-k)*(-9/11)^k)), NumeratorRat); # Muniru A Asiru, Jul 12 2018
CROSSREFS
For denominators see A159189.
Sequence in context: A268461 A025761 A003735 * A264351 A195740 A139192
KEYWORD
sign,frac
AUTHOR
N. J. A. Sloane, Nov 08 2009
STATUS
approved