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A283933 Denominators of poly-Bernoulli numbers B_n^(k) with k = 8. 2
1, 256, 1679616, 71663616, 41990400000000, 622080000000, 48413259982080000000, 29509034655744000000, 403351617450700800000000, 102438506019225600000, 2882066712209076538460160000000, 6654122279270595182592000000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..351

Wikipedia, Poly-Bernoulli number

EXAMPLE

B_0^(8) = 1, B_1^(8) = 1/256, B_2^(8) = -6049/1679616, B_3^(8) = 220961/71663616, ...

MATHEMATICA

B[n_]:= Sum[((-1)^(m + n))*m!*StirlingS2[n, m] * (m + 1)^(-8), {m, 0, n}]; Table[Denominator[B[n]], {n, 0, 15}] (* Indranil Ghosh, Mar 18 2017 *)

PROG

(PARI) B(n) = sum(m=0, n, ((-1)^(m + n)) * m! * stirling(n, m, 2) * (m + 1)^(-8));

for(n=0, 15, print1(denominator(B(n)), ", ")) \\ Indranil Ghosh, Mar 18 2017

CROSSREFS

Cf. A283932.

Sequence in context: A330483 A278142 A013759 * A016832 A103350 A069447

Adjacent sequences:  A283930 A283931 A283932 * A283934 A283935 A283936

KEYWORD

nonn,frac

AUTHOR

Seiichi Manyama, Mar 18 2017

STATUS

approved

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Last modified October 21 18:51 EDT 2021. Contains 348155 sequences. (Running on oeis4.)