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Number of n X 4 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 22:38:38

%S 6,40,412,5268,71181,1001047,14392557,210449237,3113715736,

%T 46513546197,700181791562,10607318574496,161549350874286,

%U 2471455506147877,37954136853757557,584775548813145717,9035444086858648868

%N Number of n X 4 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 4 of A284199.

%H R. H. Hardin, <a href="/A284195/b284195.txt">Table of n, a(n) for n = 1..207</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284199.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 22 2017