A367174 a(n) = the maximum number of distinct tilings of a polyhex of size n using any combination of polyhex tiles of sizes 1 through n.

1, 2, 5, 13, 26, 89, 233, 610, 2179, 5707

Offset: 1

Author

John Mason from an idea of Craig Knecht, Nov 07 2023

Keywords

• nonn
• more

Comments

The sequence considers reflections and rotations as distinct tilings. The polyhexes being tiled and the tiles themselves may be with or without holes.

Examples

			a(3) = 5 because the polyhex of size 3 that has each cell touching both the other cells can be tiled by (1) a polyhex of size 3, (2) 3 polyhexes of size 1, and (3) a polyhex of size 1 and a polyhex of size 2 in three distinct ways.
		

Crossrefs

Cf. A000228, A367172, A367173.