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Number of n X 3 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically 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 22:37:58

%S 3,13,43,412,1919,18842,105367,983238,6123441,54284366,362590384,

%T 3094974718,21686456978,180282797672,1306154902037,10663354100162,

%U 79101065751066,637908191485185,4812317630514559,38492627004755585

%N Number of n X 3 0..1 arrays with the number of 1's horizontally, antidiagonally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 3 of A284199.

%H R. H. Hardin, <a href="/A284194/b284194.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..0. .0..0..0. .0..1..0. .0..0..1. .0..0..0

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

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

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

%Y Cf. A284199.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 22 2017