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A089095
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Convoluted convolved Fibonacci numbers G_j^(8).
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0
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0, 1, 5, 24, 89, 309, 967, 2871, 8043, 21659, 56123, 141115, 345027, 824010, 1926052, 4418205, 9962470, 22121895, 48435795, 104703830, 223690751, 472762785, 989226119, 2050830465, 4215262759, 8594839851, 17393852163, 34954808319, 69784283227, 138458338326
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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/8)[1/(1-z-z^2)^8-1/(1-z^2-z^4)^4].
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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(8, j), j=1..40);
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MATHEMATICA
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(1/8)(1/(1-z-z^2)^8-1/(1-z^2-z^4)^4) + O[z]^30 // CoefficientList[#, z]& (* Jean-François Alcover, Mar 27 2018 *)
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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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