login
A197462
Number of free poly-[4.6.12]-tiles (holes allowed) with n cells (division into triangles is significant).
14
1, 3, 3, 9, 14, 38, 74, 185, 414, 1026, 2440, 6077, 14926, 37454, 93749, 237035, 599815, 1526020, 3889117, 9944523, 25475398, 65416733, 168277945, 433705325, 1119610147, 2894928713
OFFSET
1,2
COMMENTS
[4.6.12] refers to the face configuration of the kisrhombille tiling. - Peter Kagey, May 10 2021
REFERENCES
Branko Gruenbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 2.7, 6.2 and 9.4.
CROSSREFS
Analogous for other tilings: A000105 (square), A000228 (hexagonal), A000577 (triangular), A197156 (prismatic pentagonal), A197159 (floret pentagonal), A197459 (rhombille), A197465 (tetrakis square), A309159 (snub square), A343398 (trihexagonal), A343406 (truncated hexagonal), A343577 (truncated square).
Sequence in context: A243790 A267296 A122847 * A264098 A223209 A233026
KEYWORD
hard,nonn
AUTHOR
Joseph Myers, Oct 15 2011
EXTENSIONS
a(20)-a(26) from Aaron N. Siegel, Jun 03 2022
STATUS
approved