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Search: id:A096538
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| A096538 |
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E.g.f.: A(x) = exp(x*exp(2*x*exp(2^2*x*exp(...exp(2^n*x*exp(...))...)))), for n>=0. |
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+0
2
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| 1, 1, 5, 73, 2649, 226881, 45061213, 20520985353, 21182201493617, 48996888022427329, 251357040234734546421, 2834058902388354210737289, 69683890614563169975467620681, 3711434364793976039520825570430593
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OFFSET
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0,3
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FORMULA
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E.g.f. satisfies: log(A(x)) = x*A(2*x).
a(n+1) = Sum_{i=0..n} (i+1)*2^i*binomial(n,i)*a(i)*a(n-i). - Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 29 2006
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EXAMPLE
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A(x) = 1 + 1*x + 5*x^2/2! + 73*x^3/3! + 2649*x^4/4! + 226881*x^5/5! +...
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PROGRAM
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(PARI) a(n)=local(A=exp(x)); for(i=1, n, A=exp(x*(2^(n-i))*A+x*O(x^n))); n!*polcoeff(A, n)
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CROSSREFS
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Cf. A096537.
Sequence in context: A048144 A144682 A096987 this_sequence A012640 A128889 A131958
Adjacent sequences: A096535 A096536 A096537 this_sequence A096539 A096540 A096541
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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), Jun 24 2004
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