OFFSET
0,6
LINKS
Vaclav Kotesovec, Table of n, a(n) for n = 0..455
FORMULA
E.g.f.: Sum_{k>=0} x^k / (k! * (1 - k*x^4/24)).
MATHEMATICA
a[n_] := n! * Sum[(n - 4*k)^k/(24^k*(n - 4*k)!), {k, 0, Floor[n/4]}]; a[0] = 1; Array[a, 26, 0] (* Amiram Eldar, Aug 19 2022 *)
PROG
(PARI) a(n) = n!*sum(k=0, n\4, (n-4*k)^k/(24^k*(n-4*k)!));
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, x^k/(k!*(1-k*x^4/24)))))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 18 2022
STATUS
approved