A283932 Numerators of poly-Bernoulli numbers B_n^(k) with k = 8.

1, 1, -6049, 220961, -94911125449, 671622173, 16973944396387813, -46178297272884601, 648295260682210793677, 58263405848420369, -12621473417377804010947847693, 30937406138704675992342953, 117859933384302464321297008587517702333

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..249

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[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)^(-8)); for(n=0, 15, print1(numerator(B(n)), ", ")) \\ Indranil Ghosh, Mar 18 2017

Crossrefs

Cf. A283933.

Sequence in context: A269935 A269899 A157267 * A209552 A238042 A251818

Adjacent sequences: A283929 A283930 A283931 * A283933 A283934 A283935

Keyword

sign,frac

Author

Seiichi Manyama, Mar 18 2017

Status

approved