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A224102
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Numerators of poly-Cauchy numbers of the second kind hat c_n^(2).
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4
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1, -1, 13, -43, 5647, -3401, 2763977, -10326059, 876576493, -1665984623, 1156096889861, -2220482068331, 75970695882225719, -1088498788093641, 855021689397409453, -3324381371618385007, 4010325276269988793421
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OFFSET
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0,3
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COMMENTS
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The poly-Cauchy numbers of the second kind hat c_n^(k) can be expressed in terms of the (unsigned) Stirling numbers of the first kind: hat c_n^(k) = (-1)^n*sum(abs(stirling1(n,m))/(m+1)^k, m=0..n).
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LINKS
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MATHEMATICA
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Table[Numerator[Sum[StirlingS1[n, k] (-1)^k/ (k + 1)^2, {k, 0, n}]], {n, 0,
25}]
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PROG
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(PARI) a(n) = numerator(sum(k=0, n, stirling(n, k, 1)*(-1)^k/(k+1)^2)); \\ Michel Marcus, Nov 14 2015
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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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