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%I #8 Apr 27 2023 14:54:48
%S 140,545,2174,9113,43295,212747,1096781,6045233,33958643,194694395,
%T 1141026791,6726497945,39885267065,237890735825,1421015749799,
%U 8500910306963,50929911923495,305241246279617,1830098075374121
%N 1/12 the number of (n+2) X 3 0..2 arrays with each 3 X 3 subblock containing three of each value.
%C Column 1 of A184386.
%H R. H. Hardin, <a href="/A184378/b184378.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 10*a(n-1)-27*a(n-2)+81*a(n-3)-630*a(n-4)+1701*a(n-5)-1620*a(n-6)+4860*a(n-7)-13122*a(n-8)+8748*a(n-9).
%e Some solutions with a(1,1)=0 for 4 X 3
%e ..0..2..2....0..2..0....0..2..2....0..2..1....0..2..1....0..0..0....0..0..2
%e ..1..1..2....2..1..1....0..1..1....0..1..2....1..0..0....2..2..2....1..2..2
%e ..1..0..0....0..2..1....0..2..1....0..2..1....1..2..2....1..1..1....0..1..1
%e ..2..2..0....0..2..0....2..2..0....2..0..1....2..0..1....0..0..0....2..0..0
%Y Cf. A184386.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 12 2011
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