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%I #5 Mar 31 2012 12:37:30
%S 930,25505,712829,20873080,617966001,18479672376,555404234236,
%T 16753667272666,506554692545247,15340795715678711,465100426878385218,
%U 14111522453360462313,428376408597707821926,13008620388438620174834
%N Number of (n+1)X5 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order
%C Column 4 of A209814
%H R. H. Hardin, <a href="/A209810/b209810.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 66*a(n-1) -1211*a(n-2) -3327*a(n-3) +287711*a(n-4) -1650227*a(n-5) -18911756*a(n-6) +200787144*a(n-7) +249811709*a(n-8) -8470618231*a(n-9) +12934099929*a(n-10) +169407260904*a(n-11) -526263544629*a(n-12) -1680919496686*a(n-13) +8328865779706*a(n-14) +6270909877563*a(n-15) -70313845544213*a(n-16) +27029214503869*a(n-17) +333056045453117*a(n-18) -377395472742367*a(n-19) -825772616226370*a(n-20) +1585680300164445*a(n-21) +703085339056680*a(n-22) -3069417122224407*a(n-23) +900452612086569*a(n-24) +2425264270015320*a(n-25) -1808654163691437*a(n-26) -347830308417366*a(n-27) +652709084826024*a(n-28) -96050625683220*a(n-29) -59518267835508*a(n-30) +14239281350520*a(n-31) +1128398046480*a(n-32) -309936391200*a(n-33)
%e Some solutions for n=4
%e ..0..0..0..0..0....0..0..0..1..0....0..0..0..0..1....0..0..0..0..0
%e ..0..1..0..1..0....2..2..0..0..0....0..1..0..1..1....1..1..1..1..0
%e ..0..1..1..1..0....0..2..0..3..3....0..0..1..0..0....1..2..1..0..1
%e ..0..0..1..0..1....2..2..0..3..2....2..0..0..0..3....2..1..1..1..0
%e ..0..1..0..1..1....2..0..0..3..3....2..0..1..0..3....1..1..3..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 13 2012
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