login
A362338
a(n) = n! * Sum_{k=0..floor(n/3)} (-k)^k / (k! * (n-3*k)!).
2
1, 1, 1, -5, -23, -59, 1321, 9871, 39985, -1512503, -16027919, -89148509, 4751428441, 65256458125, 461686022617, -31737431328329, -535583971806239, -4599769739165039, 387180506424212065, 7750866424109754187, 78298694889496869961, -7798395141074580424619
OFFSET
0,4
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp(x) / (1 + LambertW(x^3)).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^3))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 17 2023
STATUS
approved