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%I #7 Apr 13 2013 17:01:15
%S 19683,67797,233523,804357,3295269,13499973,55306341,259112385,
%T 1213951725,5687411625,29431160325,152300071665,788120875053,
%U 4354246250577,24056538801093,132908665652937,763238423469429
%N Number of (n+2)X3 0..2 matrices with each 3X3 subblock having the same population
%C Column 1 of A224658
%H R. H. Hardin, <a href="/A224654/b224654.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 10*a(n-1) -27*a(n-2) +252*a(n-3) -2340*a(n-4) +6318*a(n-5) -23427*a(n-6) +192150*a(n-7) -518805*a(n-8) +1061424*a(n-9) -7155540*a(n-10) +19319958*a(n-11) -25759944*a(n-12) +128799720*a(n-13) -347759244*a(n-14) +343901376*a(n-15) -1120618800*a(n-16) +3025670760*a(n-17) -2459272752*a(n-18) +4421589120*a(n-19) -11938290624*a(n-20) +8571080448*a(n-21) -6122200320*a(n-22) +16529940864*a(n-23) -11019960576*a(n-24)
%e Some solutions for n=2
%e ..2..1..2....0..2..2....0..1..1....1..2..2....2..1..0....1..0..2....0..0..1
%e ..0..2..2....1..1..1....1..1..0....2..2..0....1..2..0....2..0..2....1..0..1
%e ..1..1..1....0..1..2....2..0..0....1..0..2....2..0..1....2..2..2....2..1..0
%e ..2..2..1....0..2..2....0..1..1....2..2..1....2..1..0....2..1..0....0..1..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Apr 13 2013
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