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A089094 Convoluted convolved Fibonacci numbers G_j^(7). 0
0, 1, 5, 20, 70, 222, 654, 1817, 4815, 12265, 30217, 72344, 168950, 386050, 865264, 1906260, 4135320, 8846700, 18687800, 39023300, 80630770, 164990461, 334599050, 672958200, 1343096325, 2661417579, 5238577803, 10246976040, 19926439195 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..29.

P. Moree, Convoluted convolved Fibonacci numbers, arXiv:math/0311205 [math.CO], 2003.

Pieter Moree, Convoluted Convolved Fibonacci Numbers, Journal of Integer Sequences, Vol. 7 (2004), Article 04.2.2.

FORMULA

G.f.: (z/7)[1/(1-z-z^2)^7-1/(1-z^7-z^14)].

MAPLE

with(numtheory): f := z->1/(1-z-z^2): m := proc(r, j) d := divisors(r): W := (1/r)*z*sum(mobius(d[i])*f(z^d[i])^(r/d[i]), i=1..nops(d)): Wser := simplify(series(W, z=0, 80)): coeff(Wser, z^j) end: seq(m(7, j), j=1..40);

MATHEMATICA

(1/7)(1/(1-z-z^2)^7-1/(1-z^7-z^14)) + O[z]^30 // CoefficientList[#, z]& (* Jean-Fran├žois Alcover, Mar 27 2018 *)

CROSSREFS

Sequence in context: A055403 A291288 A160549 * A080930 A169792 A000343

Adjacent sequences:  A089091 A089092 A089093 * A089095 A089096 A089097

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Dec 05 2003

EXTENSIONS

Edited by Emeric Deutsch, Mar 06 2004

STATUS

approved

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Last modified September 28 17:43 EDT 2020. Contains 337393 sequences. (Running on oeis4.)