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A375609
Expansion of e.g.f. 1 / (exp(x^3) - x).
1
1, 1, 2, 0, -24, -240, -1800, -10080, -20160, 665280, 15120000, 219542400, 2335132800, 11416204800, -272432160000, -11126129414400, -252293974732800, -4099297608806400, -36217872365875200, 593695670606438400, 41572213064718336000, 1335024565711828992000
OFFSET
0,3
FORMULA
a(n) = n! * Sum_{k=0..floor(n/3)} (-n+3*k-1)^k/k!.
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(exp(x^3)-x)))
(PARI) a(n) = n!*sum(k=0, n\3, (-n+3*k-1)^k/k!);
CROSSREFS
Sequence in context: A319221 A009799 A109582 * A308506 A255162 A359006
KEYWORD
sign
AUTHOR
Seiichi Manyama, Aug 21 2024
STATUS
approved