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Number of n X 5 0..1 arrays with the number of 1's horizontally or antidiagonally 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 22:44:11

%S 10,143,3214,85887,2417194,69938626,2058141264,61304713234,

%T 1842647045686,55774782577154,1697707702343462,51912416104327610,

%U 1593418341131944098,49066300496202571019,1515066051729449019246,46893719654238123775675

%N Number of n X 5 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 5 of A284222.

%H R. H. Hardin, <a href="/A284219/b284219.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284222.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 23 2017