OFFSET
0,5
COMMENTS
This sequence is different from A143567.
LINKS
Seiichi Manyama, Table of n, a(n) for n = 0..523
FORMULA
a(n) = n! * Sum_{k=0..floor(n/3)} (n - 3*k)^k/(6^k * k! * (n - 3*k)!).
MATHEMATICA
With[{nn=30}, CoefficientList[Series[Exp[x*Exp[x^3/6]], {x, 0, nn}], x] Range[0, nn]!] (* Harvey P. Dale, Mar 03 2025 *)
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x*(exp(x^3/6)))))
(PARI) a(n) = n!*sum(k=0, n\3, (n-3*k)^k/(6^k*k!*(n-3*k)!));
CROSSREFS
KEYWORD
nonn,changed
AUTHOR
Seiichi Manyama, Aug 18 2022
STATUS
approved