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%I #5 Mar 31 2012 12:36:22
%S 47,4322,132214,1674043,12561823,66369488,279618492,975189851,
%T 2972844263,8086809479,20111108169,46277171169,100029289052,
%U 204344500677,398372414831,744412292078,1341415693780,2338177034539,3960008651919
%N Half the number of lower triangles of a 4X4 0..n array with no element equal to the average of its horizontal and vertical neighbors
%C Row 3 of A194615
%H R. H. Hardin, <a href="/A194617/b194617.txt">Table of n, a(n) for n = 1..50</a>
%e Some solutions for n=2
%e ..1........1........0........1........1........1........2........0
%e ..0.1......0.2......2.2......2.0......2.2......2.2......0.2......2.0
%e ..0.1.0....1.2.0....0.0.2....1.2.1....1.1.0....0.0.1....1.1.0....0.1.1
%e ..0.2.2.0..2.0.0.1..1.0.0.2..0.0.2.1..1.2.0.2..1.0.0.1..1.0.0.1..2.0.2.1
%K nonn
%O 1,1
%A _R. H. Hardin_ Aug 30 2011