A075216 Number of polyiamonds with 2n cells that tile the plane by translation.

1, 2, 8, 24, 62, 291, 539, 2625, 6177, 21923, 37721, 238267, 299203, 1338140, 3492733

Offset: 1

Author

Joseph Myers, Sep 08 2002

Keywords

• hard
• nonn

Comments

Polyiamonds with an odd number of cells have different numbers of triangles with the two orientations and so cannot tile by translation.

References

• Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

• Joseph Myers, Polyiamond tiling

Crossrefs

Cf. A071332, A075217, A075218, A075219, A075220, A075221, A075222, A075223, A075224, A075198, A075207.

Extensions

More terms from Joseph Myers, Nov 11 2003

a(15) (30-iamonds) from Joseph Myers, Nov 21 2010