OFFSET
0,3
FORMULA
E.g.f.: Sum_{k>=0} x^k / (1 - k*x^4/24).
MATHEMATICA
a[n_] := n! * Sum[(n - 4*k)^k/24^k, {k, 0, Floor[n/4]}]; a[0] = 1; Array[a, 23, 0] (* Amiram Eldar, Aug 19 2022 *)
PROG
(PARI) a(n) = n!*sum(k=0, n\4, (n-4*k)^k/24^k);
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, x^k/(1-k*x^4/24))))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 18 2022
STATUS
approved