A197462 Number of free poly-[4.6.12]-tiles (holes allowed) with n cells (division into triangles is significant).

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.

Links

Table of n, a(n) for n=1..26.

Peter Kagey, Illustration of a(4) = 9.

Wikipedia, Kisrhombille tiling

Crossrefs

Cf. A197463, A197464.

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

Adjacent sequences: A197459 A197460 A197461 * A197463 A197464 A197465

Keyword

hard,nonn

Author

Joseph Myers, Oct 15 2011

Extensions

a(20)-a(26) from Aaron N. Siegel, Jun 03 2022

Status

approved