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A351183
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a(n) = Sum_{k=0..n} k^(2*n) * Stirling1(n,k).
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4
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1, 1, 15, 539, 28980, 1295404, -177715720, -88870557952, -11213754156480, 11072302541223336, 8352732988619491824, -1800044600955923261688, -8483589341410812834791040, -2945489916041839476122254560
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OFFSET
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0,3
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LINKS
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FORMULA
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E.g.f.: Sum_{k>=0} log(1 + k^2*x)^k / k!.
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PROG
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(PARI) a(n) = sum(k=0, n, k^(2*n)*stirling(n, k, 1));
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, log(1+k^2*x)^k/k!)))
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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