A126141 Maximum odd-order of a polyomino with n cells that tiles a rectangle with an odd number of congruent copies.

1, 1, 15, 1, 45, 21, 153, 1

Offset

1,3

Comments

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

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..8.

M. Reid, Rectifiable polyomino page.

Crossrefs

Cf. A126138, A126139, A126140.

Sequence in context: A040238 A201460 A040239 * A131514 A049327 A030527

Adjacent sequences: A126138 A126139 A126140 * A126142 A126143 A126144

Keyword

hard,more,nonn

Author

William Rex Marshall, Dec 19 2006

Status

approved