A292974 Number of 6-regular maps with n vertices on the torus, up to orientation-preserving isomorphisms.

3, 81, 3313, 171282, 9444158, 541659909, 31819176850, 1902508129720, 115307287484560, 7064528615347192, 436658221692698200, 27188662712300575980, 1703444238720524912060

Offset

1,1

Links

Table of n, a(n) for n=1..13.

E. Krasko, A. Omelchenko, Enumeration of r-regular Maps on the Torus. Part I: Enumeration of Rooted and Sensed Maps, arXiv preprint arXiv:1709.03225 [math.CO], 2017.

E. Krasko, A. Omelchenko, 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, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 584-599.

Crossrefs

Cf. A292408 (3-regular), A292971 (4-regular), A292972 (5-regular).

Sequence in context: A379741 A378311 A013732 * A209587 A223736 A355157

Adjacent sequences: A292971 A292972 A292973 * A292975 A292976 A292977

Keyword

nonn,more

Author

Evgeniy Krasko, Sep 27 2017

Status

approved