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%I #5 Mar 31 2012 12:37:32
%S 1977,351482,63734680,11572169594,2101304030788,381562168006676,
%T 69285421396766192,12581094577437564692,2284520145501218842460,
%U 414831337889494109430366,75326557848453481157022672
%N Number of (n+1)X4 0..3 arrays with every 2X2 subblock having two or three distinct values, and new values 0..3 introduced in row major order
%C Column 3 of A210165
%H R. H. Hardin, <a href="/A210160/b210160.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 172*a(n-1) +2086*a(n-2) -61767*a(n-3) -221678*a(n-4) +6709264*a(n-5) -21628195*a(n-6) -28904236*a(n-7) +171575402*a(n-8) +51603*a(n-9) -460002202*a(n-10) +137911776*a(n-11) +512783040*a(n-12) -179902696*a(n-13) -200966160*a(n-14) +54584192*a(n-15) -885504*a(n-16)
%e Some solutions for n=4
%e ..0..0..0..1....0..0..1..0....0..0..0..0....0..1..0..0....0..0..0..0
%e ..2..3..2..0....0..1..1..0....0..1..0..1....0..1..0..1....0..1..1..2
%e ..1..2..1..1....0..0..0..1....0..1..1..0....1..0..1..0....1..0..1..3
%e ..1..0..2..1....1..0..2..1....0..2..1..2....2..0..1..3....1..3..3..1
%e ..3..3..2..2....1..1..0..0....3..3..1..3....2..2..1..1....1..3..0..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Mar 18 2012
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