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Number of nX4 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once.
1

%I #4 Feb 12 2016 12:31:11

%S 13,89,623,4110,26334,165019,1016807,6183665,37209717,221970102,

%T 1314544140,7737069617,45297553803,263980824665,1532201345489,

%U 8861529601362,51088246525260,293694819166095,1684057081243885

%N Number of nX4 binary arrays with some element plus some horizontally or vertically adjacent neighbor totalling two no more than once.

%C Column 4 of A268750.

%H R. H. Hardin, <a href="/A268746/b268746.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 8*a(n-1) +2*a(n-2) -82*a(n-3) -49*a(n-4) +124*a(n-5) +39*a(n-6) -58*a(n-7) -6*a(n-8) +8*a(n-9) -a(n-10)

%e Some solutions for n=4

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

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

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

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

%Y Cf. A268750.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 12 2016