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Search: id:A089089
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| A089089 |
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Convoluted convolved Fibonacci numbers G_j^(2). |
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+0
1
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| 0, 1, 2, 5, 9, 19, 34, 65, 115, 210, 368, 654, 1136, 1985, 3422, 5911, 10125, 17345, 29550, 50305, 85311, 144516, 244128, 411900, 693496, 1166209, 1957842, 3283145, 5497985, 9197455, 15368386, 25655489, 42785859, 71293590, 118692688
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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P. Moree, Convoluted convolved Fibonacci numbers
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FORMULA
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G.f. = (z/2)[1/(1-z-z^2)^2-1/(1-z^2-z^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(2, j), j=1..40);
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CROSSREFS
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Adjacent sequences: A089086 A089087 A089088 this_sequence A089090 A089091 A089092
Sequence in context: A085410 A073118 A048082 this_sequence A014495 A056326 A122893
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KEYWORD
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nonn
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AUTHOR
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njas, Dec 05 2003
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EXTENSIONS
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Edited by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2004
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