

A332714


The number of placements of zero or more dominoes on the n X n grid where the number of vertical dominoes differs from the number of horizontal dominoes by at most 1.


2



1, 5, 75, 4632, 1076492, 963182263, 3317770165381, 43809083383524391, 2209112327971366587064, 424273291301040427702718109, 309707064465485300360403957730000, 857932019835933358500355409793382735115, 9007779604382069542348587670082074125962102375
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OFFSET

1,2


COMMENTS

The number of play positions of n X n Domineering. 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..13.
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

Cf. A028420 (the number of placements of dominoes on an n X n grid).
Cf. A330658, A332865.
Sequence in context: A132855 A238560 A303125 * A258784 A051481 A277296
Adjacent sequences: A332711 A332712 A332713 * A332715 A332716 A332717


KEYWORD

nonn


AUTHOR

Neil A. McKay, Feb 20 2020


EXTENSIONS

a(11)a(13) from Andrew Howroyd, Feb 20 2020


STATUS

approved



