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A075218 Number of polyiamonds with 2n cells that tile the plane both by translation and by 180-degree rotation (Conway criterion). +0
11
1, 2, 8, 24, 61, 269, 501, 2121, 4709, 14978, 26675, 123081, 179707, 660366 (list; graph; listen)
OFFSET

1,2

COMMENT

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

REFERENCES

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

LINKS

Joseph Myers, Polyiamond tiling

CROSSREFS

Cf. A071332, A075216, A075217, A075219, A075220, A075221, A075222, A075223, A075224, A075200, A075209.

Sequence in context: A051745 A006734 A131064 this_sequence A006728 A075216 A127790

Adjacent sequences: A075215 A075216 A075217 this_sequence A075219 A075220 A075221

KEYWORD

hard,nonn

AUTHOR

Joseph Myers (jsm(AT)polyomino.org.uk), Sep 08 2002

EXTENSIONS

More terms from Joseph Myers (jsm(AT)polyomino.org.uk), Nov 11 2003

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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