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Search: id:A089096
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| A089096 |
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Convoluted convolved Fibonacci numbers G_j^(9). |
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+0
1
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| 0, 1, 6, 28, 115, 418, 1396, 4367, 12925, 36542, 99385, 261365, 667501, 1661325, 4041025, 9629631, 22526515, 51820065, 117401263, 262291425, 578530315, 1261055274, 2718900535, 5802916275, 12268722487, 25711496512, 53441431933
(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/9)[1/(1-z-z^2)^9-1/(1-z^3-z^6)^3].
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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(9, j), j=1..40);
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CROSSREFS
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Sequence in context: A098470 A055220 A027106 this_sequence A026014 A027598 A141717
Adjacent sequences: A089093 A089094 A089095 this_sequence A089097 A089098 A089099
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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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