%I
%S 4,8,62,1862,187862,63120962,71200442882,272199293130242,
%T 3552472974642762242,159161446682919676638722,
%U 24593308418551382594861736962,13156534644821921838477614251069442
%N Number of nXnXn triangular 0..3 arrays with every horizontal row having the same average value
%C Column 3 of A214595
%H R. H. Hardin, <a href="/A214590/b214590.txt">Table of n, a(n) for n = 1..61</a>
%e Some solutions for n=4
%e .....2........2........2........2........2........1........2........2
%e ....1.3......1.3......3.1......2.2......3.1......0.2......3.1......2.2
%e ...1.3.2....3.2.1....2.3.1....3.0.3....0.3.3....1.0.2....2.3.1....3.0.3
%e ..1.2.2.3..3.0.3.2..3.2.3.0..0.3.3.2..3.2.1.2..0.0.3.1..3.0.3.2..3.2.0.3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 22 2012
