

A113900


Number of partitions of 2n X 2n checkerboard into two congruent edgewiseconnected sets, counting partitions equal under rotation or reflection only once.


9




OFFSET

1,2


REFERENCES

Howard Eves, A Survey of Geometry, 1963, p265.


LINKS

Table of n, a(n) for n=1..7.
Giovanni Resta, Illustrations for a(2) = 6 and a(3) = 255.


EXAMPLE

All partitions are radially symmetric, hence can be identified by half the cut. The solution for 4 X 4 follows, with coordinates of starting point and direction of each subsequent incremental cut (North is positive Y).
(1,0)NNNES (1,0)NNE (1,0)NEN (1,0)NEENW (2,0)NN (2,0)NENW total = 6


CROSSREFS

Cf. A064941, A068392, A257952.
Sequence in context: A320979 A279869 A271501 * A053944 A324091 A221895
Adjacent sequences: A113897 A113898 A113899 * A113901 A113902 A113903


KEYWORD

nonn,more


AUTHOR

Joseph Sardinha (jsardi3(AT)juno.com), Jan 29 2006


EXTENSIONS

a(5) corrected by Giovanni Resta, May 14 2015
New value of a(5) confirmed by and additional values a(6) and a(7) from Andrew Howroyd, Apr 13 2016


STATUS

approved



