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A368765
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a(n) = n! * (1 + Sum_{k=0..n} (-1)^k * k / k!).
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3
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1, 0, 2, 3, 16, 75, 456, 3185, 25488, 229383, 2293840, 25232229, 302786760, 3936227867, 55107190152, 826607852265, 13225725636256, 224837335816335, 4047072044694048, 76894368849186893, 1537887376983737880, 32295634916658495459, 710503968166486900120, 16341591267829198702737
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history;
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internal format)
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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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a(0) = 1; a(n) = n*a(n-1) + (-1)^n * n.
E.g.f.: (1 - x * exp(-x)) / (1-x).
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PROG
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(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace((1-x*exp(-x))/(1-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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