A292972 Number of 5-regular maps with 2n vertices on the torus, up to orientation-preserving isomorphisms.

15, 6423, 4031952, 2839677570, 2111005408320, 1624203259187196, 1280171373413389056, 1027235174396893007472, 835745211680299639976976, 687471000510964612782875472

Offset

1,1

Links

Table of n, a(n) for n=1..10.

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), A292974 (6-regular).

Sequence in context: A251820 A296177 A206360 * A204677 A198250 A066968

Adjacent sequences: A292969 A292970 A292971 * A292973 A292974 A292975

Keyword

nonn,more

Author

Evgeniy Krasko, Sep 27 2017

Status

approved