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Search: id:A089092
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| A089092 |
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Convoluted convolved Fibonacci numbers G_j^(5). |
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+0
2
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| 0, 1, 4, 13, 38, 102, 259, 626, 1457, 3287, 7224, 15529, 32746, 67907, 138767, 279895, 558020, 1100930, 2151610, 4169060, 8015125, 15299090, 29010460, 54676270, 102469595, 191037405, 354426478, 654575187, 1203777114, 2204962989
(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/5)[1/(1-z-z^2)^5-1/(1-z^5-z^10)].
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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(5, j), j=1..40);
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CROSSREFS
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Sequence in context: A024450 A047094 A145128 this_sequence A049611 A084851 A094706
Adjacent sequences: A089089 A089090 A089091 this_sequence A089093 A089094 A089095
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), 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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