A292408 Number of 3-regular maps with 2n vertices on the torus, up to orientation-preserving isomorphisms.

1, 5, 46, 669, 11096, 196888, 3596104, 66867564, 1258801076, 23925376862, 458284630844, 8835496339452, 171286387714900, 3336406717216564, 65257828878990784, 1281049596756607960, 25228921286295314736, 498287389997552607290, 9866927329534881618772, 195837489338961245840240

Offset

1,2

Links

Table of n, a(n) for n=1..20.

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.

Riccardo Murri, Fatgraph algorithms and the homology of the Kontsevich complex, arXiv preprint arXiv:1202.1820, 2012.

Crossrefs

3-regular maps on the sphere: A112948.

Cf. A292971 (4-regular), A292972 (5-regular), A292974 (6-regular).

Sequence in context: A052873 A052894 A363355 * A339229 A295552 A066998

Adjacent sequences: A292405 A292406 A292407 * A292409 A292410 A292411

Keyword

nonn

Author

Evgeniy Krasko, Sep 15 2017

Status

approved