A167158 Number of n-vertex 6-hedrites.

0, 0, 1, 1, 2, 1, 5, 5, 9, 7, 14, 14, 23, 17, 28, 27, 44, 35, 54, 57, 77, 59, 87, 85, 119, 105, 134, 135, 187, 149, 189, 197, 251, 218, 278, 275, 354, 313, 361, 359, 472, 405, 480, 511, 609, 519, 613, 614, 771, 704, 771, 788, 989, 849, 938, 1005, 1175, 1038, 1215

Offset

2,5

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, A167159, A111361.

Sequence in context: A248699 A032006 A377806 * A074392 A284428 A096976

Adjacent sequences: A167155 A167156 A167157 * A167159 A167160 A167161

Keyword

nonn

Author

Jonathan Vos Post, Oct 29 2009

Extensions

New name from Andrey Zabolotskiy, Jul 05 2017

Status

approved