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A089117
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Convoluted convolved Fibonacci numbers G_j^(4).
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2
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0, 1, 3, 10, 25, 64, 146, 331, 710, 1505, 3091, 6272, 12473, 24540, 47610, 91527, 174138, 328768, 615720, 1145650, 2117884, 3893630, 7119978, 12958400, 23478010, 42364427, 76148353, 136389128, 243467595, 433263360, 768749914, 1360269093
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OFFSET
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1,3
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LINKS
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Table of n, a(n) for n=1..32.
P. Moree, Convoluted convolved Fibonacci numbers
Index entries for linear recurrences with constant coefficients, signature (4,0,-16,10,20,-12,-4,-7,-12,12,12,2,0,-4,-4,-1).
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FORMULA
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G.f.: (z/4)[1/(1-z-z^2)^4-1/(1-z^2-z^4)^2].
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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(4, j), j=1..40);
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MATHEMATICA
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LinearRecurrence[{4, 0, -16, 10, 20, -12, -4, -7, -12, 12, 12, 2, 0, -4, -4, -1}, {0, 1, 3, 10, 25, 64, 146, 331, 710, 1505, 3091, 6272, 12473, 24540, 47610, 91527}, 40]
(* Ray Chandler, Jul 15 2015 *)
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CROSSREFS
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Sequence in context: A262380 A005674 A089100 * A176610 A026965 A130783
Adjacent sequences: A089114 A089115 A089116 * A089118 A089119 A089120
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Dec 05 2003
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EXTENSIONS
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Edited by Emeric Deutsch, Mar 06 2004
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STATUS
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approved
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