

A126141


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


3




OFFSET

1,3


COMMENTS

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


REFERENCES

S. W. Golomb, Polyominoes, second edition, Chapter 8, pp. 97110, 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



