This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A120540 #15 Nov 20 2023 09:21:57 %S A120540 1,1,1,3,7,25,95 %N A120540 Number of C-rotamers with n carbon atoms. %C A120540 See Table 1 on page 3605 of Balaban and Schleyer paper. %C A120540 a(n) counts free polysticks on the diamond net with n vertices. - _Andrey Zabolotskiy_, Nov 19 2023 %H A120540 A. T. Balaban, <a href="https://match.pmf.kg.ac.rs/electronic_versions/Match02/match2_51-61.pdf">Enumeration of Catafusenes, Diamond Hydrocarbons, and Staggered Alkane C-Rotamers</a>, MATCH Commun. Math. Comput. Chem., 2 (1976), 51-61. %H A120540 A. T. Balaban and Paul von R. Schleyer, <a href="https://doi.org/10.1016/0040-4020(78)88437-3">Systematic classification and nomenclature of diamond hydrocarbons-I: Graph-theoretical enumeration of polymantanes</a>, Tetrahedron, (1978), vol. 34, pp. 3599 - 3609. %e A120540 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. %Y A120540 Cf. A038169, A039740. %K A120540 nonn,more %O A120540 1,4 %A A120540 _Parthasarathy Nambi_, Aug 16 2006