%I #4 Jul 22 2012 07:42:02
%S 7,25,601,103651,121537201,971302214871,53475958137232241,
%T 20261509828593742587755,52256372938247946481045323041,
%U 909113988784102810475556803145162725
%N Number of nXnXn triangular 0..6 arrays with every horizontal row having the same average value
%C Column 6 of A214595
%H R. H. Hardin, <a href="/A214593/b214593.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=4
%e .....2........3........2........4........4........3........2........3
%e ....0.4......2.4......0.4......2.6......4.4......6.0......3.1......6.0
%e ...0.3.3....6.0.3....1.0.5....2.4.6....2.4.6....3.0.6....4.2.0....4.1.4
%e ..0.6.2.0..3.4.3.2..3.5.0.0..5.6.4.1..2.5.6.3..5.0.1.6..1.6.1.0..2.4.1.5
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 22 2012