%I #5 Mar 31 2012 12:37:05

%S 488,7784,126536,2068148,33865634,554916092,9094954742,149077423220,

%T 2443638951908,40055966781734,656597489663162,10762963773161732,

%U 176426890096852634,2891996520924867398,47405724154180563434

%N Number of (n+1)X6 0..1 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..1 introduced in row major order

%C Column 5 of A205318

%H R. H. Hardin, <a href="/A205315/b205315.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 31*a(n-1) -321*a(n-2) +1569*a(n-3) -4179*a(n-4) +6420*a(n-5) -5671*a(n-6) +2668*a(n-7) -516*a(n-8)

%e Some solutions for n=4

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 25 2012