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A359659
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a(n) = Sum_{k=0..n} k^(k * (n-k+1)).
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3
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1, 2, 6, 45, 1051, 88602, 27121964, 37004504305, 198705527223757, 5595513387083114570, 686714367475480207331582, 468422339816915120237104999421, 1664212116512828935888786624225704855
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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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G.f.: Sum_{k>=0} (k * x)^k/(1 - k^k * x).
G.f.: Sum_{k>=0} x^k/(1 - (k+1)^(k+1) * x).
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PROG
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(PARI) a(n) = sum(k=0, n, k^(k*(n-k+1)));
(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k*x)^k/(1-k^k*x)))
(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, x^k/(1-(k+1)^(k+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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