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A089102 Sign twisted convoluted convolved Fibonacci numbers H_j^(6). 0
0, 1, 5, 16, 54, 154, 425, 1098, 2743, 6570, 15345, 34839, 77489, 168882, 362054, 764097, 1591252, 3272640, 6657037, 13403600, 26740202, 52892435, 103808566, 202263470, 391464293, 752923563, 1439745067, 2738144031, 5181039986 (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

FORMULA

G.f.: (z/6)[1/(1-z-z^2)^6+1/(1-z^2-z^4)^3-1/(1-z^3-z^6)^2-1/(1-z^6-z^12)].

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(6, j), j=1..39);

MATHEMATICA

terms = 29; r = 6; 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, after Maple *)

CROSSREFS

Sequence in context: A173871 A108300 A041469 * A098912 A299685 A268225

Adjacent sequences:  A089099 A089100 A089101 * A089103 A089104 A089105

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 October 25 23:17 EDT 2020. Contains 338026 sequences. (Running on oeis4.)