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Number of n X 4 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.
1

%I #6 Apr 05 2020 23:46:11

%S 0,42,567,8088,115870,1710994,25504769,383909610,5821195059,

%T 88774881168,1360012227225,20913114635864,322580968736023,

%U 4988786216140076,77325995176393118,1200887079044838246,18681923365562958635

%N Number of n X 4 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1.

%C Column 4 of A293100.

%H R. H. Hardin, <a href="/A293096/b293096.txt">Table of n, a(n) for n = 1..162</a>

%e Some solutions for n=4

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

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

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

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

%Y Cf. A293100.

%K nonn

%O 1,2

%A _R. H. Hardin_, Sep 30 2017