OFFSET
0,9
FORMULA
a(n) = Sum_{k=0..floor(n/8)} (-16)^k * binomial(-1/8,k) * binomial(n,n-8*k).
MATHEMATICA
a[n_]:=Sum[(-16)^k * Binomial[-1/8, k] * Binomial[n, n-8*k], {k, 0, Floor[n/8]}]; Array[a, 36, 0] (* Stefano Spezia, Oct 06 2024 *)
PROG
(PARI) my(N=40, x='x+O('x^N)); Vec(1/((1-x)^8-16*x^8)^(1/8))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Oct 06 2024
STATUS
approved