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Number of n X 6 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.
1

%I #6 Apr 05 2020 23:12:39

%S 12,788,41620,2284666,130177958,7586120602,448765516394,

%T 26835088076336,1617833226931330,98162644393835350,

%U 5986867868512286798,366688625275190421692,22539277474000422961920,1389618057538273118730236

%N Number of n X 6 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1.

%C Column 6 of A285152.

%H R. H. Hardin, <a href="/A285150/b285150.txt">Table of n, a(n) for n = 1..144</a>

%e Some solutions for n=3

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

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

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

%Y Cf. A285152.

%K nonn

%O 1,1

%A _R. H. Hardin_, Apr 12 2017