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Number of n X 7 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 22:36:07

%S 33,1689,154108,16699997,1852406216,213897742464,25064817057781,

%T 2981736353245523,357844048109256955,43278292532056389680,

%U 5263990195553603263431,643350359729498071977340

%N Number of n X 7 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 7 of A284165.

%H R. H. Hardin, <a href="/A284164/b284164.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A284165.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 21 2017