A075198 - OEIS

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

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OFFSET

1,3

REFERENCES

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

LINKS

EXAMPLE

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.

CROSSREFS

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