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%I #7 Mar 02 2023 13:16:30
%S 2,10,27,76,248,735,2178,6622,20006,60256,181914,549017,1656115,
%T 4996932,15077683,45492308,137261044,414152752,1249599381,3770345250,
%U 11376066317,34324394098,103565135609,312481530333,942833738234,2844761508741
%N Number of n X 3 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 3,4,0,2,1 for x=0,1,2,3,4.
%C Every 0 is next to 0 3's, every 1 is next to 1 4's, every 2 is next to 2 0's, every 3 is next to 3 2's, every 4 is next to 4 1's.
%C Column 3 of A196653.
%H R. H. Hardin, <a href="/A196648/b196648.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 2*a(n-1) +a(n-2) +5*a(n-3) +a(n-4) +5*a(n-5) +9*a(n-6) +5*a(n-7) -3*a(n-8) -8*a(n-9) -14*a(n-11) -9*a(n-12) -2*a(n-13) +a(n-14) +2*a(n-15).
%e Some solutions for n=4
%e ..2..0..2....0..2..0....0..0..2....2..0..2....0..0..2....2..0..2....2..0..0
%e ..0..0..0....0..2..2....2..2..0....0..0..0....0..0..0....0..0..0....0..0..0
%e ..0..0..0....0..0..0....0..2..2....0..0..0....2..2..0....0..2..2....0..0..0
%e ..0..0..0....2..0..2....0..0..0....0..0..2....0..2..0....0..2..0....2..0..0
%Y Cf. A196653.
%K nonn
%O 1,1
%A _R. H. Hardin_, Oct 04 2011
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