A075198 Number of polyominoes with n cells that tile the plane by translation.

1, 1, 2, 5, 9, 24, 41, 121, 213, 522, 783, 2712, 3179, 8672, 16621, 37415, 48558, 154660, 185007, 573296, 876633, 1759730, 2606543, 8768743, 10774339

Offset: 1

Author

Joseph Myers, Sep 08 2002

Keywords

• hard
• nonn

Examples

			For n = 5, all 12 of the free pentominoes tile the plane by translation except for the R, T, and U pentominoes, so a(5) = 12 - 3 = 9.
		

References

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

Links

• Joseph Myers, Polyomino tiling

Crossrefs

Cf. A054359, A075199, A075200, A075201, A075202, A075203, A075204, A075205, A075206, A075207, A075216.

Extensions

More terms from Joseph Myers, Nov 04 2003

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