A038141 Number of planar polyhexes with n cells with at least two holes, all holes having size at least two.

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11, 149, 1618, 15123, 125764

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• more

Comments

Planar, proper multiple coronoid systems enumerated by area. Free systems are enumerated, i.e., translations, rotations and reflections are regarded as the same configuration.

The last term includes 4 polyhexes with three holes.

References

• S. J. Cyvin, J. Brunvoll, R. S. Chen, B. N. Cyvin, F. J. Zhang, Theory of Coronoid Hydrocarbons II, Lecture Notes in Chemistry 62, Springer-Verlag, 1994. (see table 3.2, p. 66)

Links

• J. V. Knop et al., Use of small computers for large computations: enumeration of polyhex hydrocarbons, J. Chem. Inf. Comput. Sci., 30 (1990), 159-160.

Crossrefs

Cf. A018190.

Cf. A000228 (hexagonal free polyominoes), A038140 (planar single coronoids).

Extensions

Edited by Markus Voege (markus.voege(AT)inria.fr), Dec 03 2003