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

1,2

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

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

Joseph Myers, Polyiamond tiling

Crossrefs

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

Sequence in context: A006728 A234933 A222808 * A127790 A006730 A131135

Adjacent sequences: A075213 A075214 A075215 * A075217 A075218 A075219

Keyword

hard,nonn

Author

Joseph Myers, Sep 08 2002

Extensions

More terms from Joseph Myers, Nov 11 2003

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

Status

approved