

A365037


E.g.f. satisfies A(x) = exp(x * (1 + x/A(x)^3)).


2



1, 1, 3, 11, 11, 1341, 14339, 168923, 8905065, 85313735, 4604578919, 197455645641, 273728455571, 267002430142187, 9427821270512373, 178475402982086701, 28273343910563670959, 713736314833387866225, 51907546734507018043057
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OFFSET

0,3


LINKS



FORMULA

E.g.f.: exp( x + LambertW(3*x^2*exp(3*x))/3 ).
a(n) = n! * Sum_{k=0..n} (3*n+3*k+1)^(k1) * binomial(k,nk)/k!.


PROG

(PARI) my(N=20, x='x+O('x^N)); Vec(serlaplace(exp(x+lambertw(3*x^2*exp(3*x))/3)))


CROSSREFS



KEYWORD

sign


AUTHOR



STATUS

approved



