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A343398 Number of generalized polyforms on the trihexagonal tiling with n cells. 13
1, 2, 1, 4, 9, 30, 97, 373, 1405, 5630, 22672, 93045, 384403, 1602156, 6712128, 28268504 (list; graph; refs; listen; history; text; internal format)
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
CROSSREFS
Same but distinguishing mirror images: A350739.
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), A343406 (truncated hexagonal), A343577 (truncated square).
Sequence in context: A006445 A174255 A254199 * A097949 A268572 A343909
KEYWORD
nonn,more,hard
AUTHOR
Peter Kagey, Apr 13 2021
EXTENSIONS
a(12)-a(15) from John Mason, Mar 04 2022
STATUS
approved

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Last modified June 20 08:48 EDT 2024. Contains 373515 sequences. (Running on oeis4.)