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Number of n X n binary arrays with every element neighboring horizontally or vertically both a 0 and a 1
1

%I #7 Dec 18 2015 18:17:58

%S 0,4,28,676,72852,26193924,31747280900,124891129720900,

%T 1596519898829489564,66137923505214401888644,

%U 8881717991453403420376233852,3865789910670398372168483012783044

%N Number of n X n binary arrays with every element neighboring horizontally or vertically both a 0 and a 1

%C Diagonal of A203285

%H R. H. Hardin, <a href="/A203279/b203279.txt">Table of n, a(n) for n = 1..15</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Dec 31 2011