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A283925
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Numerators of poly-Bernoulli numbers B_n^(k) with k=7.
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2
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1, 1, -1931, 32459, -2310243527, 56642411, 229396175476157, -106580201025857, 113274473629427263, 5016925009330883, -816236427314937438059737, -1108823743074112124111, 1385996135483315761385354011661489
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OFFSET
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0,3
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LINKS
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EXAMPLE
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B_0^(7) = 1, B_1^(7) = 1/128, B_2^(7) = -1931/279936, B_3^(7) = 32459/5971968, ...
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MATHEMATICA
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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 *)
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PROG
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(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
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CROSSREFS
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KEYWORD
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sign,frac
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AUTHOR
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STATUS
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approved
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