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A355496
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Expansion of Sum_{k>=0} (k^3 * x/(1 - x))^k.
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4
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1, 1, 65, 19812, 16836458, 30584805344, 101712712528352, 559155681922806328, 4726278437746021089208, 58187531579876705928027712, 1000523517685151396828602120640, 23235157037192774575979788565151104, 709057406693306876515431403267191583808
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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^(3*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^3*x/(1-x))^k))
(PARI) a(n) = if(n==0, 1, sum(k=1, n, k^(3*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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