A339039 - OEIS

%I #8 Nov 26 2020 22:25:23

%S 1,1,2,5,13,37,114,367,1248,4446,16526,63914,256642,1067388,4590201,

%T 20376849,93240065,439190047,2126970482,10579017047,53983000003,

%U 282345671127,1512273916781,8287870474339,46438619162441,265840311066579

%N Number of unlabeled connected simple graphs with n edges rooted at one distinguished vertex.

%F G.f.: f(x)/g(x) where f(x) is the g.f. of A053419 and g(x) is the g.f. of A000664.

%o (PARI) \\ See A339063 for G.

%o seq(n)={my(A=O(x*x^n)); Vec(G(2*n, x+A, [1])/G(2*n, x+A, []))}

%Y Cf. A000664, A002905, A053419, A126100, A303832, A339036, A339040, A339041, A339044, A339063.

%K nonn

%O 0,3

%A _Andrew Howroyd_, Nov 20 2020