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Search: id:A135741
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| A135741 |
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E.g.f.: A(x) = Sum_{n>=0} exp(fibonacci(n)*x)*x^n/n!. |
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+0
1
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| 1, 1, 3, 7, 19, 71, 347, 2115, 16395, 164071, 2099991, 34138963, 706636219, 18658538939, 627640554659, 26870678088831, 1464622985216331, 101659649883242575, 8983370274289495947, 1010460953826963080371
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OFFSET
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0,3
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FORMULA
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a(n) = Sum_{k=0..n} C(n,k)*fibonacci(k)^(n-k).
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PROGRAM
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(PARI) {a(n)=sum(k=0, n, binomial(n, k)*fibonacci(k)^(n-k))} (PARI) {a(n)=n!*polcoeff(sum(k=0, n, exp(fibonacci(k)*x +x*O(x^n))*x^k/k!), n)}
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CROSSREFS
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Sequence in context: A051139 A049423 A066237 this_sequence A128024 A075487 A118128
Adjacent sequences: A135738 A135739 A135740 this_sequence A135742 A135743 A135744
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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), Nov 27 2007
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