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Number of n X 5 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 22:39:21

%S 10,131,1919,71181,1488503,54333131,1321614728,45952259333,

%T 1219757876905,40859784312028,1146325236883584,37457479952593565,

%U 1089802904379131200,35049513938138368608,1044879421569977298080,33275440972162414040143

%N Number of n X 5 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 5 of A284199.

%H R. H. Hardin, <a href="/A284196/b284196.txt">Table of n, a(n) for n = 1..99</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A284199.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 22 2017