A350739 Number of polykagomes with n cells, distinguishing mirror images.

2, 1, 4, 14, 47, 178, 697, 2746, 11071, 45093, 185341, 767786, 3201291, 13420045, 56524684

Offset

1,1

Comments

A polykagome is a set of adjacent cells on the trihexagonal grid.

Links

Table of n, a(n) for n=1..15.

George Sicherman, Catalogue of Polykagomes

Wikipedia, Trihexagonal tiling

Example

On the trihexagonal grid, a triangle can be adjacent only to a hexagon and vice versa. The only shape with 2 cells is a triangle joined to a hexagon, so a(2) = 1.

Crossrefs

Cf. A343398, which identifies mirror images.

Sequence in context: A006173 A102055 A232376 * A263575 A162977 A032174

Adjacent sequences: A350736 A350737 A350738 * A350740 A350741 A350742

Keyword

nonn,hard,more

Author

George Sicherman, Jan 12 2022

Extensions

a(12)-a(15) from John Mason, Mar 04 2022

Status

approved