A337415 a(n) is the number of ways to tile a size n triangle in the triangular grid with n n-cell polyiamonds, up to rotation and reflection of the triangle.

1, 0, 1, 3, 11, 314

Offset: 1

Author

Peter Kagey and Alec Jones, Aug 26 2020

Keywords

• nonn
• more
• hard

Comments

The initial values are computed via the program from Arnauld Chevallier in the Code Golf Stack Exchange link.

Examples

			An example of the a(4) = 3 essentially different ways of tiling a size 4 triangle with 4-iamonds can be found via the Code Golf Stack Exchange link.
		

Links

• Code Golf Stack Exchange, Cut a triangle into equal-sized parts!
• Peter Kagey, Example of the a(5) = 11 partitions of the size 5 triangle into five 5-iamonds.

Crossrefs

A328020 is the analog for square on the square grid.

Cf. A000577.