A292972 - OEIS

A292972

Number of 5-regular maps with 2n vertices on the torus, up to orientation-preserving isomorphisms.

%I #17 Dec 30 2018 16:45:34

%S 15,6423,4031952,2839677570,2111005408320,1624203259187196,

%T 1280171373413389056,1027235174396893007472,835745211680299639976976,

%U 687471000510964612782875472

%N Number of 5-regular maps with 2n vertices on the torus, up to orientation-preserving isomorphisms.

%H E. Krasko, A. Omelchenko, <a href="https://arxiv.org/abs/1709.03225">Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps</a>, arXiv preprint arXiv:1709.03225 [math.CO], 2017.

%H E. Krasko, A. Omelchenko, <a href="https://doi.org/10.1016/j.disc.2018.07.013">Enumeration of r-regular maps on the torus. Part I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus</a>, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 584-599.

%Y Cf. A292408 (3-regular), A292971 (4-regular), A292974 (6-regular).

%K nonn,more

%O 1,1

%A _Evgeniy Krasko_, Sep 27 2017