A126140 Maximum order of a polyomino with n cells that tiles a rectangle with congruent copies.

1, 1, 2, 4, 10, 92, 76, 246, 4

Offset

1,3

Comments

The order of a polyomino is defined as the minimum number of congruent copies required to tile a rectangle. The order is undefined if the polyomino cannot tile a rectangle. No example of a non-rectangular polyomino is known for which its order is odd.

References

S. W. Golomb, Polyominoes, second edition, Chapter 8, pp. 97-110, Princeton University Press, 1994.

Links

Table of n, a(n) for n=1..9.

M. Reid, Rectifiable polyomino page.

Crossrefs

Cf. A126138, A126139, A126141.

Sequence in context: A110073 A090256 A270479 * A326967 A223851 A371621

Adjacent sequences: A126137 A126138 A126139 * A126141 A126142 A126143

Keyword

hard,more,nonn

Author

William Rex Marshall, Dec 19 2006

Status

approved