|
Search: id:A089117
|
|
|
| A089117 |
|
Convoluted convolved Fibonacci numbers G_j^(4). |
|
+0
1
|
|
| 0, 1, 3, 10, 25, 64, 146, 331, 710, 1505, 3091, 6272, 12473, 24540, 47610, 91527, 174138, 328768, 615720, 1145650, 2117884, 3893630, 7119978, 12958400, 23478010, 42364427, 76148353, 136389128, 243467595, 433263360, 768749914, 1360269093
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
LINKS
|
P. Moree, Convoluted convolved Fibonacci numbers
|
|
FORMULA
|
G.f.: (z/4)[1/(1-z-z^2)^4-1/(1-z^2-z^4)^2].
|
|
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(4, j), j=1..40);
|
|
CROSSREFS
|
Sequence in context: A067988 A005674 A089100 this_sequence A026965 A130783 A026975
Adjacent sequences: A089114 A089115 A089116 this_sequence A089118 A089119 A089120
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas, Dec 05 2003
|
|
EXTENSIONS
|
Edited by Emeric Deutsch (deutsch(AT)duke.poly.edu), Mar 06 2004
|
|
|
Search completed in 0.002 seconds
|
