%I #4 Jun 22 2015 13:14:09

%S 111,581,2816,14425,71313,361728,1803859,9106657,45601304,229700941,

%T 1152550829,5799573000,29129216479,146507741197,736226561792,

%U 3702139968817,18608625262249,93565783612448,470365315223067

%N Number of (n+1)X(4+1) 0..1 arrays with each 2X2 subblock having clockwise pattern 0000 0011 or 0111

%C Column 4 of A259250

%H R. H. Hardin, <a href="/A259246/b259246.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 7*a(n-1) +12*a(n-2) -141*a(n-3) +15*a(n-4) +798*a(n-5) -177*a(n-6) -1505*a(n-7) -48*a(n-8) +375*a(n-9) -a(n-10) -6*a(n-11)

%e Some solutions for n=4

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

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

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

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

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

%Y Cf. A259250

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 22 2015