A060909 - OEIS

%I #3 May 10 2013 12:44:44

%S 1,1,3,18,133,1236,13767,176674,2547561,40614408,708601771,

%T 13433957934,275200324797,6061423076476,142868492357151,

%U 3587417860571346,95560989416582353,2690066742390963216,79752454967110250835

%N E.g.f.: exp(x*exp(x*exp(x)) + 1/3*x^3*exp(x*exp(x))^3).

%D I. P. Goulden and D. M. Jackson, Combinatorial Enumeration, Wiley, N.Y., 1983.

%F E.g.f.: exp(Sum_{d|m} T_k^d/d), where T_k = x*exp(T_(k - 1)), k >= 1, T_0 = x; k = 2, m = 3.

%Y Cf. A000949 - A000951, A060905 - A060913.

%K nonn

%O 0,3

%A _Vladeta Jovovic_, Apr 07 2001