A215622 Number of loopless ({1,2,3},6)-spheres with n vertices.

0, 1, 1, 3, 2, 7, 5, 12, 10, 19, 16, 29, 24, 42, 35, 59, 48, 79, 69, 100, 86, 133, 112, 165, 144, 205, 176, 251, 214, 299, 265, 360, 305, 429, 375, 488, 436, 581, 495, 677, 582, 758, 679, 869, 749, 1000, 868, 1101, 989, 1259, 1076, 1410, 1228

Offset: 1

Author

Jonathan Vos Post, Aug 17 2012

Keywords

• nonn

Comments

Equivalently, ({2,3},6)-spheres, or 6-regular planar graphs with digonal and trigonal faces only. - Andrey Zabolotskiy, Mar 22 2019

Links

• Andrey Zabolotskiy, Table of n, a(n) for n = 1..100
• Michel Deza and Mathieu Dutour Sikiric, Zigzag and Central Circuit Structure of ({1,2,3},6)-spheres, Taiwanese Journal of Mathematics, 16 (June 2012), No. 3, 913-940; see Table 1, p. 916.
• Michel-Marie Deza, Mathieu Dutour Sikiric and Mikhail Ivanovitch Shtogrin, Geometric Structure of Chemistry-Relevant Graphs, Springer, 2015; see p. 107.

Crossrefs

Cf. A088534, A111361, A167227, A210146.