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A292971
Number of 4-regular maps with n vertices on the torus, up to orientation-preserving isomorphisms.
4
1, 4, 23, 185, 1647, 16455, 169734, 1805028, 19472757, 212603589, 2341275180, 25969695728, 289782412836, 3250137255678
OFFSET
1,2
LINKS
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), A292972 (5-regular), A292974 (6-regular).
Sequence in context: A058863 A192840 A302189 * A317967 A186117 A108953
KEYWORD
nonn,more
AUTHOR
Evgeniy Krasko, Sep 27 2017
STATUS
approved