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Number of n X 6 0..1 arrays with the number of 1's horizontally 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 22:35:05

%S 19,467,21790,1142173,63520018,3648835932,213897742464,12712253739523,

%T 762954434250117,46132889929802552,2805893251846100894,

%U 171472537110465965686,10520216685129431413147,647576935194197811151494

%N Number of n X 6 0..1 arrays with the number of 1's horizontally or vertically adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero.

%C Column 6 of A284165.

%H R. H. Hardin, <a href="/A284163/b284163.txt">Table of n, a(n) for n = 1..40</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A284165.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2017