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%I #18 Mar 19 2017 01:16:50
%S 1,512,10077696,859963392,2519424000000000,335923200000000,
%T 20333569192473600000000,24787589110824960000000,
%U 1016446075975766016000000000,6453625879211212800000000,79890889262435601646115635200000000,184452269581380898461450240000000
%N Denominators of poly-Bernoulli numbers B_n^(k) with k = 9.
%H Seiichi Manyama, <a href="/A283935/b283935.txt">Table of n, a(n) for n = 0..309</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Poly-Bernoulli_number">Poly-Bernoulli number</a>
%e B_0^(9) = 1, B_1^(9) = 1/512, B_2^(9) = -18659/10077696, B_3^(9) = 1437155/859963392, ...
%t B[n_]:= Sum[((-1)^(m + n))*m!*StirlingS2[n, m] * (m + 1)^(-9), {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)^(-9));
%o for(n=0, 15, print1(denominator(B(n)), ", ")) \\ _Indranil Ghosh_, Mar 18 2017
%Y Cf. A283934.
%K nonn,frac
%O 0,2
%A _Seiichi Manyama_, Mar 18 2017