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A362671
E.g.f. satisfies A(x) = exp( x * exp(x) / A(x)^2 ).
2
1, 1, -1, 10, -111, 1716, -33755, 807738, -22782207, 740204776, -27226430739, 1118416240470, -50750734988063, 2521219487859372, -136098630522431499, 7932551567421395866, -496501182232557828735, 33214032504796887027408
OFFSET
0,4
LINKS
Eric Weisstein's World of Mathematics, Lambert W-Function.
FORMULA
E.g.f.: exp( LambertW(2*x * exp(x))/2 ).
a(n) = Sum_{k=0..n} k^(n-k) * (-2*k+1)^(k-1) * binomial(n,k).
PROG
(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(lambertw(2*x*exp(x))/2)))
CROSSREFS
KEYWORD
sign
AUTHOR
Seiichi Manyama, Apr 29 2023
STATUS
approved