A194609 - OEIS

%I #6 Mar 31 2012 12:36:22

%S 5,96,4322,571364,205801866,202803700252,547917448108462,

%T 4059864930297777162,82468548660331834255159,

%U 4592574521519240269995632810,701184800636550713667143286769980

%N Half the number of lower triangles of an (n+1)X(n+1) 0..2 array with no element equal to the average of its horizontal and vertical neighbors

%C Column 2 of A194615

%H R. H. Hardin, <a href="/A194609/b194609.txt">Table of n, a(n) for n = 1..12</a>

%e Some solutions for 3X3

%e ..1......1......0......0......0......2......1......2......0......2......0

%e ..0.2....2.2....1.2....1.0....2.0....0.1....0.2....1.0....1.0....0.2....2.2

%e ..2.0.2..0.0.2..2.1.2..2.1.2..2.1.0..1.0.1..0.1.0..2.0.2..0.0.1..1.0.1..2.0.1

%K nonn

%O 1,1

%A _R. H. Hardin_ Aug 30 2011