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

Author

George Sicherman, Jan 12 2022

Keywords

• nonn
• hard
• more

Comments

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

Examples

			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.
		

Links

• George Sicherman, Catalogue of Polykagomes
• Wikipedia, Trihexagonal tiling

Crossrefs

Cf. A343398, which identifies mirror images.

Extensions

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