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Number of connected cubic graphs on 2n unlabeled vertices rooted at a vertex.
5

%I #6 Mar 11 2023 18:26:31

%S 0,1,2,10,64,490,4595,51063,657623,9592204,155630924,2771922417,

%T 53673859357,1121581872170,25143397213226,601751140758134,

%U 15310778492310274,412656423154230159,11743600063060974656,351882591907696156959

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

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

%Y Column k=1 of A321304.

%Y Cf. A002851, A005638, A361408, A361410.

%K nonn

%O 1,3

%A _Andrew Howroyd_, Mar 11 2023