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Search: id:A140051
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| A140051 |
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L.g.f.: A(x) = log(G(x)) where G(x) = g.f. of A060690(n) = C(2^n+n-1,n). |
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2
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| 2, 16, 308, 14488, 1843232, 714580528, 917085102992, 4076698622618144, 64300718807613519968, 3649606003781552269341376, 752497581806524062754828125952, 567745591696108934746387351412913664
(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 + 16*x^2/2 + 308*x^3/3 + 14488*x^4/4 + 1843232*x^5/5 +...
A(x) = log(G(x)) where G(x) = g.f. of A060690:
G(x) = 1 + 2*x + 10*x^2 + 120*x^3 + 3876*x^4 +... + C(2^n+n-1,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-1, k)*x^k)+x*O(x^n)), n)}
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CROSSREFS
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Cf. A140050, A060690.
Sequence in context: A009795 A112722 A009250 this_sequence A137729 A009100 A009109
Adjacent sequences: A140048 A140049 A140050 this_sequence A140052 A140053 A140054
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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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