%I #10 Dec 21 2015 04:47:49

%S 1,1,3,9,33,157,1077,12562,276361,12023304,1019341931,165104554019,

%T 50503104222056,29054325051128443,31426537149908636858,

%U 64001044963441537716700,245935895697060179316310623,1787577789272803153324620542087,24637809499317378365431171138790458

%N Limiting number of graphs with m+n nodes and m connected components as m tends to infinity.

%F Limit of A201922(m+n,m) as m tends to infinity.

%F a(n) = A201922(2*n,n) = A201922(2*n+1,n+1) = ...

%F a(n) = sum over the partitions of n of Product_{i=1..n} binomial(A001349(i+1)+Ki-1, Ki), where Ki is the number of parts equal to i, 1*K1 + 2*K2 + ... + n*Kn = n.

%K nonn

%O 0,3

%A _Max Alekseyev_, Dec 07 2011