A075205 Number of polyominoes with n cells that tile the plane isohedrally.

1, 1, 2, 5, 12, 35, 104, 342, 1041, 3026, 6512, 23227, 38238, 108204, 278426, 544635, 825654, 3049903, 3375582, 12108377, 21899125, 36960289, 53317222, 220706640, 271264826

Offset

1,3

Comments

A tiling is isohedral if the symmetries of the tiling act transitively on the tiles; a shape is anisohedral if it tiles the plane, but not isohedrally.

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..25.

Joseph Myers, Polyomino tiling

Eric Weisstein's World of Mathematics, Isohedral Tiling

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075203, A075204, A075206, A075214, A075223.

Sequence in context: A148286 A075202 A075203 * A054359 A148287 A036357

Adjacent sequences: A075202 A075203 A075204 * A075206 A075207 A075208

Keyword

hard,nonn

Author

Joseph Myers, Sep 08 2002

Extensions

More terms from Joseph Myers, Nov 04 2003

a(24) and a(25) from Joseph Myers, Nov 17 2010

Status

approved