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A371198
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Expansion of e.g.f. 1/(1 + x^3 * log(1 - x - x^2)).
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2
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1, 0, 0, 0, 24, 180, 960, 8820, 129024, 2177280, 32875200, 533887200, 9997827840, 212133841920, 4799669696640, 114208231737600, 2901190960926720, 79007705121945600, 2289453730357248000, 69972073047194572800, 2249392810263651532800
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OFFSET
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0,5
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LINKS
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FORMULA
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a(n) = n! * Sum_{j=0..n} Sum_{k=0..floor(j/3)} k! * binomial(j-2*k,n-j-k) * |Stirling1(j-2*k,k)|/(j-2*k)!.
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PROG
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(PARI) a(n) = n!*sum(j=0, n, sum(k=0, j\3, k!*binomial(j-2*k, n-j-k)*abs(stirling(j-2*k, k, 1))/(j-2*k)!));
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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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