A345076 Number of generalized polyforms on the elongated triangular tiling with n cells.

1, 2, 3, 5, 13, 32, 96, 283, 907, 2929, 9787, 32939, 112476, 386230, 1336150

Offset

0,2

Comments

This sequence counts free polyforms where holes are allowed. This means that two polyforms are considered the same if one is a rigid transformation (translation, rotation, reflection or glide reflection) of the other.

Links

Table of n, a(n) for n=0..14.

Peter Kagey, The a(3) = 5 generalized polyforms on the elongated triangular tiling with 3 cells.

Wikipedia, Elongated Triangular Tiling

Example

See the PDF in the links section.

Crossrefs

Analogous for other tilings: A000105 (square), A000228 (hexagonal), A000577 (triangular), A197156 (prismatic pentagonal), A197159 (floret pentagonal), A197459 (rhombille), A197462 (kisrhombille), A197465 (tetrakis square), A309159 (snub square), A343398 (trihexagonal), A343406 (truncated hexagonal), A343577 (truncated square).

Sequence in context: A072999 A175093 A342180 * A353582 A233515 A173268

Adjacent sequences: A345073 A345074 A345075 * A345077 A345078 A345079

Keyword

nonn,more

Author

Drake Thomas, Jun 07 2021

Status

approved