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A356673
a(n) = n! * Sum_{k=0..n} k^(3*(n-k))/k!.
5
1, 1, 3, 31, 901, 45741, 3960871, 584698843, 130554106761, 40790044059481, 17681098707667531, 10491554658622447191, 8198225417359164798733, 8172446419302496167191941, 10264848632098736708582150511
OFFSET
0,3
LINKS
FORMULA
E.g.f: Sum_{k>=0} x^k / (k! * (1 - k^3 * x)).
PROG
(PARI) a(n) = n!*sum(k=0, n, k^(3*(n-k))/k!);
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(sum(k=0, N, x^k/(k!*(1-k^3*x)))))
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Aug 22 2022
STATUS
approved