A290167 Number of complete non-collateral matches with lattice points on the edges of an n X n square (symmetries and rotations excluded).
1, 5, 121, 9598, 1679181, 453504350, 172005077014, 86949091994273, 56483442337203525, 45847249692285567451, 45469223124152747878400, 54099446571414415140387750, 76055371931321606140937295538, 124721482827599093214246240617246
Offset: 1
Keywords
Examples
Points on the sides of a 2 X 2 square can be matched in 13 different ways, if matching two points on the same side is not allowed. Only 5 of these are not symmetries or reflections of the others, so a(2) = 5.
Links
- César Eliud Lozada, Complete matches
- Andrew Howroyd, PARI script and formula
Extensions
a(4) corrected by César Eliud Lozada, Sep 15 2017
a(5)-a(8) from Andrew Howroyd, Sep 16 2017
a(9)-a(14) from Andrew Howroyd, Sep 18 2017