login
Number of polyhexes with n cells without holes that do not tile the plane.
4

%I #15 Dec 04 2023 06:40:03

%S 0,0,0,0,0,4,37,381,2717,18760,116439,565943,3033697,14835067,

%T 72633658,356923880,1746833634,8532601529,41868336466,205618704167,

%U 1012359995953

%N Number of polyhexes with n cells without holes that do not tile the plane.

%D M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.

%H Craig S. Kaplan, <a href="https://isohedral.ca/heesch-numbers-of-unmarked-polyforms/">Heesch Numbers of Unmarked Polyforms</a>

%H Craig S. Kaplan, <a href="https://arxiv.org/abs/2105.09438">Heesch Numbers of Unmarked Polyforms</a>, arXiv:2105.09438 [cs.CG], 2021. See Table 3 and Table 4.

%H Joseph Myers, <a href="http://www.polyomino.org.uk/mathematics/polyform-tiling/">Polyhex tiling</a>

%Y Cf. A018190, A070766, A070767, A038144, A054361, A071334.

%K nonn,hard,more

%O 1,6

%A _Joseph Myers_, May 05 2002

%E More terms from _Joseph Myers_, Nov 06 2003

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