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A089106
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Sign twisted convoluted convolved Fibonacci numbers H_j^(10).
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0
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0, 1, 7, 33, 145, 552, 1959, 6435, 20039, 59345, 168862, 463385, 1233082, 3191530, 8061718, 19919613, 48255611, 114812555, 268730241, 619603435, 1409012926, 3163562545, 7019590107, 15405769535, 33467218583, 72013318602, 153577843509
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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LINKS
| P. Moree, Convoluted convolved Fibonacci numbers
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FORMULA
| G.f.: (z/10)[1/(1-z-z^2)^10+1/(1-z^2-z^4)^5-1/(1-z^5-z^10)^2-1/(1-z^10-z^20)].
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MAPLE
| 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(10, j), j=1..35);
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CROSSREFS
| Sequence in context: A066810 A034577 A141291 * A155603 A054256 A085636
Adjacent sequences: A089103 A089104 A089105 * A089107 A089108 A089109
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Dec 05 2003
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EXTENSIONS
| Edited by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2004
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