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A007552
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Exponentiation of Fibonacci numbers.
(Formerly M2860)
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0
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1, 3, 10, 42, 204, 1127, 6924, 46704, 342167, 2700295, 22799218, 204799885, 1947993126, 19540680497, 206001380039, 2275381566909, 26261810071925, 315969045744894, 3954454344433658, 51382626410402336, 691956435942841207
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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REFERENCES
| N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
| M. Bernstein and N. J. A. Sloane, Some canonical sequences of integers, Linear Alg. Applications, 226-228 (1995), 57-72; erratum 320 (2000), 210.
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MAPLE
| f:= proc (n) option remember; `if` (n<2, 1, f(n-1) +f(n-2)) end: a:= proc(n) option remember; f(n) +add (binomial (n-1, k-1) *f(k) *a(n-k), k=1..n-1) end: seq (a(n), n=1..30); [From Alois P. Heinz, Oct 07 2008]
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PROG
| (PARI) Vec(serlaplace(exp( serconvol(Ser(1/(1-x-x^2)), exp(x))-1)))
/* ==> [1, 1, 3, 10, 42, 204, 1127, 6924, 46704, ...] (note offset 0) */
/* Joerg Arndt, Jun 16 2010 */
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CROSSREFS
| Sequence in context: A107594 A094195 A091843 * A125274 A030903 A030816
Adjacent sequences: A007549 A007550 A007551 * A007553 A007554 A007555
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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