OFFSET
1,4
COMMENTS
See Table 1 on page 3605 of Balaban and Schleyer paper.
a(n) counts free polysticks on the diamond net with n vertices. - Andrey Zabolotskiy, Nov 19 2023
LINKS
A. T. Balaban, Enumeration of Catafusenes, Diamond Hydrocarbons, and Staggered Alkane C-Rotamers, MATCH Commun. Math. Comput. Chem., 2 (1976), 51-61.
A. T. Balaban and Paul von R. Schleyer, Systematic classification and nomenclature of diamond hydrocarbons-I: Graph-theoretical enumeration of polymantanes, Tetrahedron, (1978), vol. 34, pp. 3599 - 3609.
EXAMPLE
a(6) = 25 polysticks with 6 vertices include A038169(6) = 24 dual graphs to the hexagonal-face-connected animals formed by 6 triakis truncated tetrahedra (which are the Voronoi cells of the diamond net), including the 6-cycle, plus the 6-cycle without one edge.
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Parthasarathy Nambi, Aug 16 2006
STATUS
approved