A361407 Number of connected cubic graphs on 2n unlabeled vertices rooted at a vertex.

0, 1, 2, 10, 64, 490, 4595, 51063, 657623, 9592204, 155630924, 2771922417, 53673859357, 1121581872170, 25143397213226, 601751140758134, 15310778492310274, 412656423154230159, 11743600063060974656, 351882591907696156959

Offset: 1

Author

Andrew Howroyd, Mar 11 2023

Keywords

• nonn

Crossrefs

Column k=1 of A321304.

Cf. A002851, A005638, A361408, A361410.

Formula

G.f.: B(x)/C(x) where B(x) is the g.f. of A361410 and C(x) is the g.f. of A005638.