

A332865


Number of placements of zero or more dominoes on the n X n grid where no two empty squares are horizontally adjacent.


2



1, 4, 48, 1427, 140555, 40008789, 33656587715, 84588476099284, 626461671945179295, 13776144517953719025396, 897220763259635483826935324, 173109540246969825014223808529273, 98978509126162805673620043358494745638, 167661422725328648892707605323564506782035252
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OFFSET

1,2


COMMENTS

The number of positions of n X n Domineering where horizontal (Right) has no moves, also called Right ends. Domineering is a game in which players take turns placing dominoes on a grid, one player placing vertically and the other horizontally until the player to place cannot place a domino.


LINKS

Table of n, a(n) for n=1..14.
Bjorn Huntemann, Svenja Huntemann, Neil A. McKay SageMath code for Counting Domineering Positions
Svenja Huntemann, Neil A. McKay,Counting Domineering Positions, arXiv:1909.12419 [math.CO], 2019.


PROG

(Sage) See Bjorn Huntemann, Svenja Huntemann, Neil A. McKay link.


CROSSREFS

Main diagonal of A332862.
Cf. A287595 (the number of placements of dominoes on an n X n grid where no two empty squares are horizontally or vertically adjacent).
Cf. A332714.
Sequence in context: A191952 A013145 A013150 * A011266 A197927 A100568
Adjacent sequences: A332862 A332863 A332864 * A332866 A332867 A332868


KEYWORD

nonn


AUTHOR

Neil A. McKay, Feb 27 2020


EXTENSIONS

a(9)a(14) from Andrew Howroyd, Feb 28 2020


STATUS

approved



