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Number of n X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.
1

%I #7 Apr 05 2020 21:34:32

%S 0,2,113,11574,4551741,7586120602,52105131287528,1469435682255774972,

%T 168943399492409779855098,78854409689567939731003347822,

%U 148970519290227262688309540510302237

%N Number of n X n 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Diagonal of A285152.

%H R. H. Hardin, <a href="/A285145/b285145.txt">Table of n, a(n) for n = 1..12</a>

%e Some solutions for n=4

%e ..1..0..0..1. .0..1..1..1. .0..1..0..1. .0..1..1..0. .0..1..1..1

%e ..0..1..0..0. .1..1..0..0. .0..1..1..1. .0..0..0..0. .0..1..1..0

%e ..0..1..1..0. .0..1..0..0. .1..0..0..0. .1..1..1..0. .0..0..1..0

%e ..1..1..1..1. .1..0..1..0. .0..0..1..0. .1..1..0..1. .0..1..1..1

%Y Cf. A285152.

%K nonn

%O 1,2

%A _R. H. Hardin_, Apr 12 2017