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%I #17 Mar 18 2017 08:34:17
%S 1,128,279936,5971968,699840000000,93312000000,115269666624000000,
%T 35129803161600000,160060165655040000000,1016255020032000000,
%U 103970660613603049728000000,240047701272387993600000,41516393959179372527058885120000000
%N Denominators of poly-Bernoulli numbers B_n^(k) with k=7.
%H Seiichi Manyama, <a href="/A283926/b283926.txt">Table of n, a(n) for n = 0..407</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Poly-Bernoulli_number">Poly-Bernoulli number</a>
%e B_0^(7) = 1, B_1^(7) = 1/128, B_2^(7) = -1931/279936, B_3^(7) = 32459/5971968, ...
%t B[n_]:= Sum[((-1)^(m + n))*m!*StirlingS2[n, m] * (m + 1)^(-7), {m, 0, n}]; Table[Denominator[B[n]], {n, 0, 15}] (* _Indranil Ghosh_, Mar 18 2017 *)
%o (PARI) B(n) = sum(m=0, n, ((-1)^(m + n)) * m! * stirling(n, m, 2) * (m + 1)^(-7));
%o for(n=0, 15, print1(numerator(B(n)),", ")) \\ _Indranil Ghosh_, Mar 18 2017
%Y Cf. A027643-A027648, A283925.
%K nonn,frac
%O 0,2
%A _Seiichi Manyama_, Mar 18 2017
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