%I #5 Mar 31 2012 12:37:30
%S 792,19008,470736,11857440,299879808,7597233712,192567994720,
%T 4881998439024,123776581739664,3138262841221104,79568924857694176,
%U 2017431778013841440,51151059308792578224,1296912123972653759648
%N Number of (n+1)X5 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order
%C Column 4 of A209897
%H R. H. Hardin, <a href="/A209893/b209893.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 37*a(n-1) -224*a(n-2) -2979*a(n-3) +29449*a(n-4) +46557*a(n-5) -1073860*a(n-6) +1135122*a(n-7) +15431403*a(n-8) -33807620*a(n-9) -96498020*a(n-10) +305903160*a(n-11) +230102448*a(n-12) -1252267328*a(n-13) +63674496*a(n-14) +2499686528*a(n-15) -1105423872*a(n-16) -2340302336*a(n-17) +1583680512*a(n-18) +822790144*a(n-19) -753893376*a(n-20) -7176192*a(n-21) +78643200*a(n-22) -10485760*a(n-23)
%e Some solutions for n=4
%e ..0..0..1..1..1....0..0..0..0..0....0..0..1..0..0....0..1..0..2..1
%e ..1..0..1..2..2....0..1..0..2..0....2..0..0..0..1....0..1..0..2..1
%e ..0..1..1..2..1....1..0..0..2..2....2..2..2..0..1....0..0..0..2..2
%e ..1..0..1..2..1....0..0..2..2..0....0..2..0..0..0....0..1..0..2..0
%e ..1..1..1..1..1....2..2..2..0..2....2..2..0..1..0....0..1..0..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 14 2012