A167157 Number of n-vertex 5-hedrites.

0, 1, 0, 1, 2, 3, 1, 2, 3, 5, 3, 4, 7, 10, 6, 6, 7, 12, 9, 8, 15, 20, 11, 12, 16, 21, 18, 16, 24, 32, 24, 18, 26, 37, 23, 24, 38, 45, 37, 30, 33, 52, 44, 34, 56, 69, 45, 40, 54, 66, 58, 48, 66, 92, 68, 49, 71, 98, 70, 63, 96, 104, 92, 74, 80, 122, 98, 72, 120

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

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

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

Crossrefs

Cf. A167156, A167158, A167159, A111361.

Sequence in context: A011448 A174981 A067280 * A238837 A309940 A081514

Adjacent sequences: A167154 A167155 A167156 * A167158 A167159 A167160

Keyword

nonn

Author

Jonathan Vos Post, Oct 29 2009

Extensions

New name from Andrey Zabolotskiy, Jul 05 2017

Status

approved