A339039 Number of unlabeled connected simple graphs with n edges rooted at one distinguished vertex.

1, 1, 2, 5, 13, 37, 114, 367, 1248, 4446, 16526, 63914, 256642, 1067388, 4590201, 20376849, 93240065, 439190047, 2126970482, 10579017047, 53983000003, 282345671127, 1512273916781, 8287870474339, 46438619162441, 265840311066579

Offset: 0

Author

Andrew Howroyd, Nov 20 2020

Keywords

• nonn

Crossrefs

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

Programs

PARI

\\ See A339063 for G.
seq(n)={my(A=O(x*x^n)); Vec(G(2*n, x+A, [1])/G(2*n, x+A, []))}

Formula

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