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A357028
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E.g.f. satisfies A(x) = (1 - x * A(x))^log(1 - x * A(x)).
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4
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1, 0, 2, 6, 82, 820, 13568, 235368, 5111748, 123205248, 3404436312, 103998026880, 3516027852456, 129715202957184, 5198615642907360, 224652658604613120, 10419411912935774736, 516120552745366247424, 27198524267826237745824
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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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E.g.f. satisfies log(A(x)) = log(1 - x * A(x))^2.
a(n) = Sum_{k=0..floor(n/2)} (2*k)! * (n+1)^(k-1) * |Stirling1(n,2*k)|/k!.
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MATHEMATICA
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m = 20; (* number of terms *)
A[_] = 0;
Do[A[x_] = (1 - x*A[x])^Log[1 - x*A[x]] + O[x]^m // Normal, {m}];
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PROG
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(PARI) a(n) = sum(k=0, n\2, (2*k)!*(n+1)^(k-1)*abs(stirling(n, 2*k, 1))/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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