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Search: id:A132039
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| A132039 |
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E.g.f.: A(x) = Sum_{n>=0} a(n)*x^n/n! = exp( Sum_{n>=0} a(n)*x^(n+1)/(n+1) ) with a(0) = 1. |
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1
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| 1, 1, 2, 8, 74, 2122, 267292, 194323504, 980945301116, 39560543100700028, 14356125485861852659544, 52095666080476161483596777824, 2079492908949143825845786572097662328
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n+1) = Sum_{k=0..n} n!/k!*a(k)*a(n-k). - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 08 2008
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EXAMPLE
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E.g.f.: A(x) = 1 + 1x + 2x^2/2! + 8x^3/3! + 74x^4/4! + 2122x^5/5! +...;
E.g.f.: A(x) = exp(x + 1x^2/2 + 2x^3/3 + 8x^4/4 + 74x^5/5 + 2122x^6/6 +...) .
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PROGRAM
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(PARI) {a(n)=if(n==0, 1, n!*polcoeff(exp(sum(k=0, n-1, a(k)*x^(k+1)/(k+1))+x^2*O(x^n)), n))}
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CROSSREFS
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Sequence in context: A012998 A143760 A064605 this_sequence A002668 A093062 A057984
Adjacent sequences: A132036 A132037 A132038 this_sequence A132040 A132041 A132042
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KEYWORD
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nonn
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Aug 07 2007
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