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A089102
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Sign twisted convoluted convolved Fibonacci numbers H_j^(6).
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0
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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
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OFFSET
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1,3
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LINKS
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FORMULA
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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)].
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MAPLE
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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);
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MATHEMATICA
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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);
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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