A120540 Number of C-rotamers with n carbon atoms.

1, 1, 1, 3, 7, 25, 95

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

Table of n, a(n) for n=1..7.

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

Cf. A038169, A039740.

Sequence in context: A002870 A096579 A350650 * A176829 A352385 A133206

Adjacent sequences: A120537 A120538 A120539 * A120541 A120542 A120543

Keyword

nonn,more

Author

Parthasarathy Nambi, Aug 16 2006

Status

approved