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A005443 a(n) = n! * Fibonacci(n).
(Formerly M2034)
9
0, 1, 2, 12, 72, 600, 5760, 65520, 846720, 12337920, 199584000, 3552595200, 68976230400, 1450895846400, 32866215782400, 797681364480000, 20650793619456000, 568032822669312000, 16543733655601152000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

REFERENCES

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..416

P. R. J. Asveld & N. J. A. Sloane, Correspondence, 1987

P. R. J. Asveld, Fibonacci-like differential equations with a polynomial nonhomogeneous term, Fib. Quart. 27 (1989), 303-309.

INRIA Algorithms Project, Encyclopedia of Combinatorial Structures 511

FORMULA

a(n) = A039948(n, 1).

E.g.f.: x/(1-x-x^2). - Geoffrey Critzer, Sep 01 2013

MAPLE

ZL:=[S, {a = Atom, b = Atom, S = Prod(X, Sequence(Prod(X, b))), X = Sequence(b, card >= 1)}, labelled]: seq(combstruct[count](ZL, size=n), n=0..18); # Zerinvary Lajos, Mar 26 2008

MATHEMATICA

Table[Fibonacci[n]*n!, {n, 0, 25}] (* Zerinvary Lajos, Jul 09 2009 *)

PROG

(PARI) a(n) = n!*fibonacci(n); \\ Michel Marcus, Oct 30 2015

CROSSREFS

Sequence in context: A296975 A144086 A335786 * A002867 A235359 A130426

Adjacent sequences:  A005440 A005441 A005442 * A005444 A005445 A005446

KEYWORD

nonn,easy

AUTHOR

Simon Plouffe

EXTENSIONS

More terms from James A. Sellers, Dec 24 1999

STATUS

approved

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Last modified July 28 19:33 EDT 2021. Contains 346335 sequences. (Running on oeis4.)