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Number of nX4 binary arrays with every one adjacent to another one horizontally or vertically
1

%I #5 Mar 31 2012 12:36:52

%S 7,126,1718,22946,311144,4217066,57127796,773948962,10485233258,

%T 142050385280,1924452482144,26071860295098,353213105139604,

%U 4785216541174944,64828561353680056,878276318748587482

%N Number of nX4 binary arrays with every one adjacent to another one horizontally or vertically

%C Column 4 of A202802

%H R. H. Hardin, <a href="/A202798/b202798.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 13*a(n-1) -7*a(n-2) +181*a(n-3) +123*a(n-4) +940*a(n-5) +545*a(n-6) -2084*a(n-7) -1964*a(n-8) +1512*a(n-9) +1984*a(n-10) -512*a(n-11) -1024*a(n-12)

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Dec 24 2011