A038144 Number of planar n-hexes, or polyhexes (in the sense of A000228, so rotations and reflections count as the same shape) with at least one hole.

0, 0, 0, 0, 0, 1, 2, 13, 67, 404, 2323, 13517, 76570, 429320, 2373965, 13004323, 70641985, 381260615, 2046521491, 10936624026, 58228136539

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Comments

Apparently the same as the number of hexagonal planar circulenes (planar rings of hexagons) with n cells, although the two sequences may in fact differ for large n.

References

• J. V. Knop et al., On the total number of polyhexes, Match, No. 16 (1984), 119-134.

Links

• Craig Knecht, Tiling of a fixed pattern of holes in a frame.
• J. V. Knop, K. Szymanski, Ž. Jeričević, and N. Trinajstić, On the total number of polyhexes, Match, No. 16 (1984), 119-134.
• Joseph Myers, Polyomino, polyhex and polyiamond tiling

Crossrefs

Cf. A018190, A038143, A038147, A000228, A018190.

Extensions

More terms from Joseph Myers, May 05 2002

Further terms from Joseph Myers, Nov 06 2003

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007

Link edited by Joseph Myers, Nov 17 2010