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A362339
a(n) = n! * Sum_{k=0..floor(n/4)} (-k)^k / (k! * (n-4*k)!).
2
1, 1, 1, 1, -23, -119, -359, -839, 78961, 722737, 3623761, 13297681, -2115602279, -27917827079, -195909017303, -980236890359, 219254440161121, 3780662914771681, 34105981790126881, 216149350680413857, -62275804867272039479, -1325952502191492278039
OFFSET
0,5
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp(x) / (1 + LambertW(x^4)).
PROG
(PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x)/(1+lambertw(x^4))))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 17 2023
STATUS
approved