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A292889
Expansion of e.g.f. exp(x^3 * exp(x)).
9
1, 0, 0, 6, 24, 60, 480, 5250, 40656, 302904, 3024720, 35260830, 400499880, 4619610996, 58758862344, 813678468330, 11686918766880, 173172973038960, 2695921067029536, 44219170187746614, 755363769931590840, 13351503268881437100, 244634794020399856920
OFFSET
0,4
LINKS
FORMULA
a(n) = n! * Sum_{k=0..floor(n/3)} k^(n-3*k)/(k! * (n-3*k)!). - Seiichi Manyama, Jul 10 2022
PROG
(PARI) x='x+O('x^66); Vec(serlaplace(exp(x^3*exp(x))))
(PARI) a(n) = n!*sum(k=0, n\3, k^(n-3*k)/(k!*(n-3*k)!)); \\ Seiichi Manyama, Jul 10 2022
CROSSREFS
Column k=3 of A292978.
Sequence in context: A292908 A293017 A371175 * A366546 A272951 A358081
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Sep 26 2017
STATUS
approved