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A356689
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a(n) = n! * Sum_{k=0..n} k^(k*n)/k!.
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2
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1, 2, 20, 19887, 4297096180, 298028721722131825, 10314430386434427534836297166, 256923580889667624113335512704714686054849, 6277101737079381675512518990977258744796239498871290255000
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OFFSET
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0,2
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LINKS
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FORMULA
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E.g.f.: Sum_{k>=0} (k^k * x)^k / (k! * (1 - k^k * x)).
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PROG
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(PARI) a(n) = n!*sum(k=0, n, k^(k*n)/k!);
(PARI) my(N=10, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, (k^k*x)^k/(k!*(1-k^k*x)))))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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