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Number of n X 7 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 22:40:45

%S 33,1611,105367,14392557,1321614728,178138187113,18564422929880,

%T 2429325477564655,271315506003954612,34775052300161919967,

%U 4048381878219586826112,512565378120434864463849

%N Number of n X 7 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 7 of A284199.

%H R. H. Hardin, <a href="/A284198/b284198.txt">Table of n, a(n) for n = 1..31</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A284199.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 22 2017