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A365010
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E.g.f. satisfies A(x) = 1 + x*exp(-x)*A(x)^3.
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2
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1, 1, 4, 39, 596, 12365, 324714, 10329655, 386190328, 16597810233, 806356830230, 43700423019011, 2613919719004692, 171053575111641157, 12156558707970920866, 932424974682447304815, 76772968644326739801584, 6754080601542663692950769
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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) = n! * Sum_{k=0..n} (-k)^(n-k) * A001764(k)/(n-k)!.
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MAPLE
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add( (-k)^(n-k)*A001764(k)/(n-k)!, k=0..n) ;
%*n! ;
end proc:
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PROG
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(PARI) a(n) = n!*sum(k=0, n, (-k)^(n-k)*binomial(3*k, k)/((2*k+1)*(n-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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