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A198945

G.f.: A(x) = exp( Sum_{n>=1} [Sum_{k=0..n} C(n,k)^n * x^k*A(x)^k] * x^n/n ).

1, 1, 2, 5, 19, 114, 1213, 30838, 2121309, 276352623, 57301231426, 23565649037533, 26695112293671042, 64176655598885762420, 241858766657669843853891, 1532114965167989470245178816, 24647864257364414796375879195305, 1038222828395065545608332107235286628

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

EXAMPLE

G.f.: A(x) = 1 + x + 2*x^2 + 5*x^3 + 19*x^4 + 114*x^5 + 1213*x^6 +...

where

log(A(x)) = (1 + x*A(x))*x + (1 + 2^2*x*A(x) + x^2*A(x)^2)*x^2/2 +

(1 + 3^3*x*A(x) + 3^3*x^2*A(x)^2 + x^3*A(x)^3)*x^3/3 +

(1 + 4^4*x*A(x) + 6^4*x^2*A(x)^2 + 4^4*x^3*A(x)^3 + x^4*A(x)^4)*x^4/4 +

(1 + 5^5*x*A(x) + 10^5*x^2*A(x)^2 + 10^5*x^3*A(x)^3 + 5^5*x^4*A(x)^4 + x^5*A(x)^5)*x^5/5 +...