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A224094
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Denominators of poly-Cauchy numbers c_n^(2).
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5
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1, 4, 36, 48, 1800, 720, 35280, 20160, 226800, 10080, 731808, 665280, 1967565600, 11211200, 129729600, 34594560, 18745927200, 28641600, 371536925760, 3990729600, 3226504881600, 4877558400, 466663317120, 550720684800, 2192556726360000, 175404538108800
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OFFSET
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0,2
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COMMENTS
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The poly-Cauchy numbers c_n^k can be expressed in terms of the (unsigned) Stirling numbers of the first kind: c_n^(k) = (-1)^n*sum(abs(stirling1(n,m))*(-1)^m/(m+1)^k, m=0..n).
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LINKS
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MATHEMATICA
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Table[Denominator[Sum[StirlingS1[n, k]/ (k + 1)^2, {k, 0, n}]], {n, 0, 25}]
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PROG
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(PARI) a(n) = denominator(sum(k=0, n, stirling(n, k, 1)/(k+1)^2)); \\ Michel Marcus, Nov 15 2015
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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STATUS
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approved
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