A283924 Denominators of poly-Bernoulli numbers B_n^(k) with k=6.

1, 64, 46656, 497664, 11664000000, 518400000, 274451587200000, 41821194240000, 63515938752000000, 403275801600000, 3750745332381062400000, 8659729483130880000, 115208108444831203593792000000, 60895775359471852800000, 189903475458512972956800000

Offset

0,2

Links

Seiichi Manyama, Table of n, a(n) for n = 0..479

Wikipedia, Poly-Bernoulli number

Example

B_0^(6) = 1, B_1^(6) = 1/64, B_2^(6) = -601/46656, B_3^(6) = 4409/497664, ...

Mathematica

B[n_]:= Sum[((-1)^(m + n))*m!*StirlingS2[n, m] * (m + 1)^(-6), {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)^(-6));
for(n=0, 15, print1(denominator(B(n)), ", ")) \\ Indranil Ghosh, Mar 18 2017

Crossrefs

Cf. A283923.

Sequence in context: A159400 A221615 A141092 * A016830 A249076 A334605

Adjacent sequences: A283921 A283922 A283923 * A283925 A283926 A283927

Keyword

nonn,frac

Author

Seiichi Manyama, Mar 18 2017

Status

approved