A108072 -id:A108072 - cp's OEIS frontend

A108070 Number of fusenes with n hexagons.

1, 1, 3, 7, 22, 82, 339, 1505, 7036, 33836, 166246, 829987, 4197273, 21456444, 110716585, 576027737, 3018986040, 15927330105, 84530870455, 451069339063, 2418927725532, 13030938290472, 70492771581350, 382816374644336, 2086362209298079, 11408580755666756

Offset: 1

Gunnar Brinkmann, Jun 05 2005

nonn

Gunnar Brinkmann, Gilles Caporossi and Pierre Hansen, A constructive enumeration of fusenes and benzenoids, Journal of Algorithms 45 (2002), pp. 155-166.
Gunnar Brinkmann, Gilles Caporossi and Pierre Hansen, A Survey and New Results on Computer Enumeration of Polyhex and Fusene Hydrocarbons, J. Chem. Inf. Comput. Sci., vol. 43 (2003) 842-851.
Eric Weisstein's World of Mathematics, Fusene

Cf. A018190, A108071, A108072.

A108071 Number of inner dual graphs of planar polyhexes with n hexagons.

Original entry on oeis.org

1, 1, 2, 4, 8, 21, 53, 151, 458, 1477, 4918, 16956, 59494, 212364, 766753, 2796876, 10284793, 38096072, 141998218, 532301941, 2005638293, 7592441954, 28865031086, 110174528925, 422064799013, 1622379252093

Offset: 1

Gunnar Brinkmann, Jun 05 2005

nonn

			For n = 4, the a(n) = 4 graphs are: the 4-path, which is the inner dual of 4 polyhexes out of A018190(4) = 7 (each of the others is an inner dual of a single polyhex); the paw graph; the diamond graph; the claw graph.

Gunnar Brinkmann, Gilles Caporossi and Pierre Hansen, A constructive enumeration of fusenes and benzenoids, Journal of Algorithms, Volume 45, Issue 2, November 2002, Pages 155-166.
Gunnar Brinkmann, Gilles Caporossi and Pierre Hansen, A Survey and New Results on Computer Enumeration of Polyhex and Fusene Hydrocarbons, J. Chem. Inf. Comput. Sci. 2003, 43, 3, 842-851.

Cf. A018190, A108070, A108072.

Name corrected by Andrey Zabolotskiy, Oct 01 2022

cp's OEIS Frontend

A108070 Number of fusenes with n hexagons.

Views

Author

Keywords

Links

Crossrefs