OFFSET
0,4
COMMENTS
Convolution inverse of A261050.
FORMULA
a(n) = Sum_{k=0..n} (-1)^k * A337009(n,k). - Alois P. Heinz, Apr 30 2023
MATHEMATICA
nmax = 45; CoefficientList[Series[Product[1/(1 + x^k)^Fibonacci[k], {k, 1, nmax}], {x, 0, nmax}], x]
a[0] = 1; a[n_] := a[n] = (1/n) Sum[Sum[(-1)^(k/d) d Fibonacci[d], {d, Divisors[k]}] a[n - k], {k, 1, n}]; Table[a[n], {n, 0, 45}]
CROSSREFS
KEYWORD
sign
AUTHOR
Ilya Gutkovskiy, Oct 02 2022
STATUS
approved