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A371330
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E.g.f. satisfies A(x) = (exp(x/(1 - A(x))) - 1)/(1 - A(x))^2.
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1
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0, 1, 7, 112, 2901, 104176, 4788191, 268323756, 17744075761, 1352623086136, 116780496526515, 11263219375425172, 1200239384528276285, 140044340185131990336, 17757626485468691645479, 2431398542489983741458940, 357522675169127219183137737
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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} (n+3*k-2)!/(n+2*k-1)! * Stirling2(n,k).
E.g.f.: Series_Reversion( (1 - x) * log(1 + x * (1 - x)^2) ). - Seiichi Manyama, Sep 08 2024
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PROG
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(PARI) a(n) = sum(k=1, n, (n+3*k-2)!/(n+2*k-1)!*stirling(n, k, 2));
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CROSSREFS
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KEYWORD
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nonn,changed
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AUTHOR
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STATUS
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approved
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