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%I #4 Jul 22 2012 07:42:57
%S 8,32,986,250042,493575042,7427553264322,841074553776240002,
%T 708809429969357784359042,4431510042384136382251663178882,
%U 205943724467315535144140586838561052162
%N Number of nXnXn triangular 0..7 arrays with every horizontal row having the same average value
%C Column 7 of A214595
%H R. H. Hardin, <a href="/A214594/b214594.txt">Table of n, a(n) for n = 1..48</a>
%e Some solutions for n=4
%e .....4........4........4........2........2........4........4........3
%e ....6.2......6.2......6.2......0.4......2.2......2.6......6.2......2.4
%e ...7.3.2....0.7.5....5.2.5....0.4.2....3.3.0....5.6.1....2.5.5....2.6.1
%e ..4.5.4.3..1.3.5.7..7.2.1.6..3.4.1.0..0.0.2.6..5.3.3.5..7.1.4.4..3.5.0.4
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 22 2012