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Search: id:A159603
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| A159603 |
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G.f.: A(x) = Sum_{n>=0} log(1 + Sum_{k>=1} k^n*x^k )^n/n!. |
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+0
1
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| 1, 1, 2, 5, 16, 62, 312, 2001, 16796, 183416, 2634814, 49703026, 1240433524, 40975503423, 1803618092422, 105967390883387, 8362303039735026, 888404336012975536, 127771790716640691664, 24942884185805223709166
(list; graph; listen)
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OFFSET
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0,3
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EXAMPLE
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G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 16*x^4 + 62*x^5 +...
A(x) = Sum_{n>=0} log(1 + x + 2^n*x^2 + 3^n*x^3 + 4^n*x^4 +..)^n/n!
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PROGRAM
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(PARI) {a(n)=polcoeff(sum(m=0, n, log(1+sum(k=1, n, k^m*x^k)+x*O(x^n))^m/m!), n)}
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CROSSREFS
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Cf. A136553 (variant).
Sequence in context: A138549 A144188 A157314 this_sequence A058117 A007124 A112951
Adjacent sequences: A159600 A159601 A159602 this_sequence A159604 A159605 A159606
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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 08 2009
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