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Search: id:A112487
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| 1, 2, 10, 82, 938, 13778, 247210, 5240338, 128149802, 3551246162, 109979486890, 3764281873042, 141104799067178, 5749087305575378, 252969604725106090, 11955367835505775378, 603967991604199335722, 32479636694930586142802
(list; graph; listen)
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OFFSET
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0,2
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FORMULA
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a(n)=sum(A112486(n, m), m=0..n), n>=0.
a(n) = 2*A032188(n+1), n>0. - Vladeta Jovovic (vladeta(AT)eunet.rs), Jul 11 2007
Contribution from Paul D. Hanna (pauldhanna(AT)juno.com), Jun 30 2009: (Start)
E.g.f. A(x) satisfies: A'(x) = A(x)^2 + A(x)^3.
E.g.f. A(x) satisfies: A(x) = exp( Integral[A(x) + A(x)^2]dx ) with A(0)=1. (End)
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PROGRAM
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(PARI) {a(n)=local(A=1+x); for(i=1, n, A=exp(intformal(A+A^2)+x*O(x^n))); n!*polcoeff(A, n)} [From Paul D. Hanna (pauldhanna(AT)juno.com), Jun 30 2009]
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CROSSREFS
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Cf. A032034. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 15 2008]
Sequence in context: A063902 A088351 A062396 this_sequence A089469 A111265 A003093
Adjacent sequences: A112484 A112485 A112486 this_sequence A112488 A112489 A112490
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Sep 12 2005
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