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

1,2

Links

Table of n, a(n) for n=1..14.

César Eliud Lozada, Complete matches

Andrew Howroyd, PARI script and formula

Example

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.

Crossrefs

Cf. A139267 (number of distinct matches), A290166.

Sequence in context: A012151 A012156 A368854 * A193479 A324089 A071171

Adjacent sequences: A290164 A290165 A290166 * A290168 A290169 A290170

Keyword

nonn

Author

César Eliud Lozada, Jul 22 2017

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

Status

approved