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A283925 Numerators of poly-Bernoulli numbers B_n^(k) with k=7. 2
1, 1, -1931, 32459, -2310243527, 56642411, 229396175476157, -106580201025857, 113274473629427263, 5016925009330883, -816236427314937438059737, -1108823743074112124111, 1385996135483315761385354011661489 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..269

Wikipedia, Poly-Bernoulli number

EXAMPLE

B_0^(7) = 1, B_1^(7) = 1/128, B_2^(7) = -1931/279936, B_3^(7) = 32459/5971968, ...

MATHEMATICA

B[n_]:= Sum[((-1)^(m + n))*m!*StirlingS2[n, m] * (m + 1)^(-7), {m, 0, n}]; Table[Numerator[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)^(-7));

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

CROSSREFS

Cf. A283926.

Sequence in context: A252108 A220717 A162386 * A166393 A141593 A221015

Adjacent sequences:  A283922 A283923 A283924 * A283926 A283927 A283928

KEYWORD

sign,frac

AUTHOR

Seiichi Manyama, Mar 18 2017

STATUS

approved

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Last modified May 16 08:07 EDT 2022. Contains 353695 sequences. (Running on oeis4.)