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A370462
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E.g.f. satisfies A(x) = log(1 + x)/(1 - A(x))^2.
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2
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0, 1, 3, 32, 506, 11254, 319486, 11063352, 452075928, 21295486272, 1136180493504, 67720154888352, 4459760039965248, 321592207168637664, 25201588848786782688, 2132592146864957906688, 193806614782424556184320, 18825630812739265968357120
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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} (3*k-2)!/(2*k-1)! * Stirling1(n,k).
a(n) ~ n^(n-1) / (sqrt(2) * (exp(4/27) - 1)^(n - 1/2) * exp(n + 2/27)). - Vaclav Kotesovec, Mar 19 2024
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MATHEMATICA
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Table[Sum[(3*k - 2)!/(2*k - 1)!*StirlingS1[n, k], {k, 1, n}], {n, 0, 20}] (* Vaclav Kotesovec, Mar 19 2024 *)
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PROG
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(PARI) a(n) = sum(k=1, n, (3*k-2)!/(2*k-1)!*stirling(n, 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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