cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A332865 Number of placements of zero or more dominoes on the n X n grid where no two empty squares are horizontally adjacent.

This page as a plain text file.
%I A332865 #15 Jun 19 2025 15:04:56
%S A332865 1,4,48,1427,140555,40008789,33656587715,84588476099284,
%T A332865 626461671945179295,13776144517953719025396,
%U A332865 897220763259635483826935324,173109540246969825014223808529273,98978509126162805673620043358494745638,167661422725328648892707605323564506782035252
%N A332865 Number of placements of zero or more dominoes on the n X n grid where no two empty squares are horizontally adjacent.
%C A332865 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.
%H A332865 Bjorn Huntemann, Svenja Huntemann, and Neil A. McKay <a href="http://www2.unb.ca/~nmckay/oeis/CountingDomineering.sagews">SageMath code for Counting Domineering Positions</a>
%H A332865 Svenja Huntemann and Neil A. McKay, <a href="https://arxiv.org/abs/1909.12419">Counting Domineering Positions</a>, arXiv:1909.12419 [math.CO], 2019.
%o A332865 (Sage) # See Bjorn Huntemann, Svenja Huntemann, Neil A. McKay link.
%Y A332865 Main diagonal of A332862.
%Y A332865 Cf. A287595 (the number of placements of dominoes on an n X n grid where no two empty squares are horizontally or vertically adjacent).
%Y A332865 Cf. A332714.
%K A332865 nonn
%O A332865 1,2
%A A332865 _Neil A. McKay_, Feb 27 2020
%E A332865 a(9)-a(14) from _Andrew Howroyd_, Feb 28 2020