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Number of n X 3 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.
1

%I #6 Apr 05 2020 22:29:07

%S 3,13,25,435,1230,20275,67957,1057769,4091201,57977326,251405237,

%T 3267210309,15553103766,187647577263,965234391129,10933376520347,

%U 60012823834203,644348267987097,3735767137025182,38329302231936856

%N Number of n X 3 0..1 arrays with the number of 1's king-move adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 3 of A284113.

%H R. H. Hardin, <a href="/A284108/b284108.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284113.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 20 2017