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A355495
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Expansion of Sum_{k>=0} (k^2 * x/(1 - x))^k.
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3
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1, 1, 17, 762, 67772, 10032208, 2226273192, 691431572992, 286268594755712, 152365547943819264, 101361042063083269520, 82409537565402784477984, 80397802305461995791664944, 92692687015689239272783171264
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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(n) = Sum_{k=1..n} k^(2*k) * binomial(n-1,k-1) for n > 0.
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PROG
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(PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k^2*x/(1-x))^k))
(PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(2*k)*binomial(n-1, k-1)));
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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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