OFFSET
0,3
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..99
FORMULA
a(n) ~ c * phi^(n*(n+1)/2) / 5^(n/2), where phi = A001622 is the golden ratio and c = 10.15498753508843821457456033641336796744756370048241257586748102558791... - Vaclav Kotesovec, Sep 18 2021
MAPLE
b:= proc(x, y) option remember; (F->
`if`(x=0 and y=0, 1, `if`(x>0, b(x-1, y)*F(y-x+1), 0)+
`if`(y>x, b(x, y-1), 0)))(combinat[fibonacci])
end:
a:= n-> b(n$2):
seq(a(n), n=0..18); # Alois P. Heinz, Nov 12 2023
MATHEMATICA
nmax = 18; CoefficientList[Series[1/(1 + ContinuedFractionK[-Fibonacci[k] x, 1, {k, 1, nmax}]), {x, 0, nmax}], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Mar 23 2019
STATUS
approved