A292405 Number of 3-regular maps with 2n vertices on the torus, up to orientation-preserving and orientation-reversing isomorphisms.

1, 5, 40, 450, 6370, 104498, 1843324, 33778574, 632053347, 11983323029, 229304019611, 4419024507187, 85653324334312, 1668284177327594, 32629561950146399

Offset

1,2

Links

Table of n, a(n) for n=1..15.

E. Krasko, A. Omelchenko, Enumeration of r-regular Maps on the Torus. Part II: Enumeration of Unsensed Maps, arXiv preprint arXiv:1709.03230 [math.CO], 2017.

E. Krasko, A. Omelchenko, Enumeration of r-regular maps on the torus. Part II: Unsensed maps, Discrete Mathematics, Volume 342, Issue 2, February 2019, pp. 600-614.

Crossrefs

4-regular: A292468, 5-regular: A292109, 6-regular: A292110.

Sequence in context: A121886 A282190 A052868 * A094574 A090362 A201366

Adjacent sequences: A292402 A292403 A292404 * A292406 A292407 A292408

Keyword

nonn,more

Author

Evgeniy Krasko, Sep 15 2017

Status

approved