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Search: id:A136553
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| A136553 |
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G.f.: A(x) = Sum_{n>=0} log( Sum_{k>=0} (k+1)^n*x^k )^n / n!. |
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+0
2
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| 1, 2, 9, 90, 2577, 248236, 84052116, 100270156156, 421825834327399, 6296015371464642774, 336474161890278633077823, 65028162589779857302801760924, 45874159173058581016227457835479612
(list; graph; listen)
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OFFSET
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0,2
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EXAMPLE
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G.f.: A(x) = 1 + 2*x + 9*x^2 + 90*x^3 + 2577*x^4 + 248236*x^5 +...;
A(x) = Sum_{n>=0} log(1 + 2^n*x + 3^n*x^2 + 4^n*x^3 +...)^n / n! ; surprisingly, this sum yields a series in x with integer coefficients.
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PROGRAM
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(PARI) {a(n)=polcoeff(sum(i=0, n, log(sum(k=0, n, (k+1)^i*x^k)+x*O(x^n))^i/i!), n)}
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CROSSREFS
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Cf. A136552.
Adjacent sequences: A136550 A136551 A136552 this_sequence A136554 A136555 A136556
Sequence in context: A006120 A012941 A059477 this_sequence A011804 A058156 A011837
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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), Jan 05 2008
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