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%I #4 Jan 19 2014 12:44:47
%S 358,2688,24428,225216,2085288,19292888,178764936,1654241464,
%T 15328190976,141847742984,1314327437536,12163159796496,
%U 112698090430280,1042966073144728,9663395442341880,89432162049587368,828596618144389304
%N Number of (n+1)X(3+1) 0..2 arrays colored with the sets of distinct values in every 2X2 subblock, with new values 0..2 introduced row-major order
%C Column 3 of A236164
%H R. H. Hardin, <a href="/A236159/b236159.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 91*a(n-2) +17*a(n-3) -555*a(n-4) -199*a(n-5) -2759*a(n-6) -806*a(n-7) +12016*a(n-8) +8767*a(n-9) +37038*a(n-10) +23107*a(n-11) -30178*a(n-12) -50102*a(n-13) -64316*a(n-14) -22746*a(n-15) -28056*a(n-16) +29816*a(n-17) -137392*a(n-18) -67760*a(n-19) -1568*a(n-20) -11584*a(n-21) +3392*a(n-22) -192*a(n-23) for n>26
%e Some solutions for n=3
%e ..0..1..1..0....0..1..0..0....0..0..1..2....0..1..2..1....0..0..0..0
%e ..0..2..2..0....1..0..2..2....0..2..2..2....1..2..1..0....0..1..2..0
%e ..0..2..2..0....1..2..2..2....0..1..2..2....1..2..0..0....2..2..1..2
%e ..1..2..0..1....2..1..0..2....1..0..2..1....1..0..2..1....0..0..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 19 2014
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