A385086 a(n) = 2 * (5*n+2)^(n-1).
1, 2, 24, 578, 21296, 1062882, 67108864, 5131452818, 461078666496, 47622573323522, 5559811767271424, 724066662913782498, 104073121367674187776, 16365437809265714289122, 2794811034494209364066304, 515110198093444174897047218, 101914923171285428527995355136
Offset: 0
Links
- Eric Weisstein's World of Mathematics, Lambert W-Function.
Programs
-
PARI
my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(-2/5*lambertw(-5*x))))
Formula
E.g.f.: exp(-2/5 * LambertW(-5*x)).
E.g.f.: B(x)^2, where B(x) is the e.g.f. of A052782.
E.g.f. A(x) satisfies:
(1) A(x) = exp(2*x*A(x)^(5/2)).
(2) A(x) = 1/A(-x*A(x)^5).