The On-Line Encyclopedia of Integer Sequences (OEIS)

A089106 revision #3

A089106

Sign twisted convoluted convolved Fibonacci numbers H_j^(10).

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; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..27.

P. Moree, Convoluted convolved Fibonacci numbers

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)].

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);

CROSSREFS

Sequence in context: A141291 A278027 A225895 * A211829 A227555 A304278

Adjacent sequences: A089103 A089104 A089105 * A089107 A089108 A089109

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Dec 05 2003

EXTENSIONS

Edited by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2004

STATUS

approved