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Search: id:A140050
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| A140050 |
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L.g.f.: A(x) = log(G(x)) where G(x) = g.f. of A014070(n) = C(2^n,n). |
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+0
2
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| 2, 8, 140, 6840, 988272, 447403472, 660627632240, 3275795875152672, 55865676874553471264, 3342534504414732132234688, 713146571770256922167459951616, 549740788325926349073175414573702656
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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L.g.f.: A(x) = log[ Sum_{n>=0} log(1 + 2^n*x)^n/n! ].
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EXAMPLE
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A(x) = 2*x + 8*x^2/2 + 140*x^3/3 + 6840*x^4/4 + 988272*x^5/5 +...
A(x) = log(G(x)) where G(x) = g.f. of A014070:
G(x) = 1 + 2*x + 6*x^2 + 56*x^3 + 1820*x^4 +... + C(2^n,n)*x^n +...
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PROGRAM
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(PARI) {a(n)=n*polcoeff(log(sum(k=0, n, binomial(2^k, k)*x^k)+x*O(x^n)), n)}
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CROSSREFS
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Cf. A140051, A014070.
Sequence in context: A058343 A111827 A045330 this_sequence A009817 A124105 A079613
Adjacent sequences: A140047 A140048 A140049 this_sequence A140051 A140052 A140053
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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), May 02 2008
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