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Search: id:A136726
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| A136726 |
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G.f.: A(x) = Sum_{n>=0} log( Sum_{k>=0} fibonacci(k+1)^n*x^k )^n / n!. |
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+0
1
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| 1, 1, 2, 5, 17, 73, 407, 2907, 26773, 317954, 4886310, 97485657, 2534891399, 86295825506, 3863685633735, 228686666560004, 17979843031304262, 1888025173840826426, 266025611085446537560, 50572458313046091569640
(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 + 2x^2 + 5x^3 + 17x^4 + 73x^5 + 407x^6 + 2907x^7 +...
A(x) = Sum_{n>=0} log(1 + x + 2^n*x^2 + 3^n*x^3 + 5^n*x^4 +...)^n / n!;
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, fibonacci(k+1)^i*x^k)+x*O(x^n))^i/i!), n)}
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CROSSREFS
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Cf. A136553.
Adjacent sequences: A136723 A136724 A136725 this_sequence A136727 A136728 A136729
Sequence in context: A102038 A002135 A007868 this_sequence A112831 A000774 A081046
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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 20 2008
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