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A006701
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Exponentiation of g.f. for Fibonacci numbers.
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3
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0, 1, 1, 5, 13, 60, 246, 1266, 6679, 39568, 247940, 1677435, 12020295, 91463410, 733490265, 6189608760, 54746987035, 506444804075, 4887127598817, 49096724251235, 512474550910080, 5548429401985372, 62208756548406172, 721256031012180537, 8635815672831322186
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OFFSET
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0,4
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LINKS
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FORMULA
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MATHEMATICA
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a[-1] = 1; a[n_] := a[n] = Sum[Binomial[n, k]*Fibonacci[k]*a[n - k - 1], {k, 0, n}]; Table[a[n], {n, 0, 30}] (* Vaclav Kotesovec, Jun 08 2021 *)
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PROG
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(PARI) a(n) = if (n==-1, 1, sum(k=0, n, binomial(n, k)*fibonacci(k)*a(n-k-1))); \\ Michel Marcus, Jun 11 2017
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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