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A089106 Sign twisted convoluted convolved Fibonacci numbers H_j^(10). 0
0, 1, 7, 33, 145, 552, 1959, 6435, 20039, 59345, 168862, 463385, 1233082, 3191530, 8061718, 19919613, 48255611, 114812555, 268730241, 619603435, 1409012926, 3163562545, 7019590107, 15405769535, 33467218583, 72013318602, 153577843509 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..27.

P. Moree, Convoluted convolved Fibonacci numbers

FORMULA

G.f.: (z/10)[1/(1-z-z^2)^10+1/(1-z^2-z^4)^5-1/(1-z^5-z^10)^2-1/(1-z^10-z^20)].

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(10, j), j=1..35);

MATHEMATICA

terms = 27; r = 10; f[z_] := -1/(1 - z - z^2);

W = (z/r)*Sum[MoebiusMu[d]*f[z^d]^(r/d), {d, Divisors[r]}]+ O[z]^(terms+1);

CoefficientList[W, z] // Rest (* Jean-Fran├žois Alcover, Dec 09 2017, from Maple *)

CROSSREFS

Sequence in context: A141291 A278027 A225895 * A211829 A227555 A304278

Adjacent sequences:  A089103 A089104 A089105 * A089107 A089108 A089109

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 January 17 10:28 EST 2021. Contains 340214 sequences. (Running on oeis4.)