A167159 Number of n-vertex 7-hedrites.

0, 0, 0, 0, 0, 1, 1, 1, 3, 4, 5, 7, 9, 12, 18, 22, 25, 36, 46, 48, 62, 76, 88, 107, 126, 142, 179, 198, 216, 257, 304, 329, 382, 431, 483, 547, 601, 643, 764, 838, 889, 998, 1134, 1197, 1324, 1435, 1574, 1751, 1874, 1963, 2247, 2419, 2511, 2735, 3041, 3187, 3453

Offset

2,9

Comments

A k-hedrite is a 4-regular planar graph whose faces have sizes 2, 3 and 4 only and the total number of faces of sizes 2 and 3 is k.

Links

Andrey Zabolotskiy, Table of n, a(n) for n = 2..70

Mathieu Dutour Sikiric and Michel Deza, 4-regular and self-dual analogs of fullerenes, arXiv:0910.5323 [math.GT], 2009.

Crossrefs

Cf. A167156, A167157, A167158, A111361.

Sequence in context: A260996 A102822 A346986 * A226918 A227391 A209721

Adjacent sequences: A167156 A167157 A167158 * A167160 A167161 A167162

Keyword

nonn

Author

Jonathan Vos Post, Oct 29 2009

Extensions

New name from Andrey Zabolotskiy, Jul 05 2017

Status

approved