login
A292908
Expansion of e.g.f. exp(x^3 * exp(-x)).
5
1, 0, 0, 6, -24, 60, 240, -4830, 39984, -180936, -605520, 24616350, -318005160, 2385790836, -86488584, -350543790870, 6917020827360, -79778558317200, 357117438258144, 9237998478286134, -304182278908538040, 5166739059890655660, -48968796671246843160
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 A292973.
Cf. A292889.
Sequence in context: A214308 A237350 A265393 * A293017 A371175 A292889
KEYWORD
sign
AUTHOR
Seiichi Manyama, Sep 26 2017
STATUS
approved