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%I #4 Aug 05 2012 06:11:04
%S 6,12,38,192,1558,18940,364970,10283548,429504540,25437005278,
%T 2101856931492,235596818865156,35497898136868548,7006717056754996580,
%U 1795137645392400993718,583598433809166736549828
%N Number of nXnXn triangular 0..5 arrays with every horizontal row nondecreasing, first elements of rows nonincreasing, last elements of rows nondecreasing, and every row having the same average value
%C Column 5 of A215182
%H R. H. Hardin, <a href="/A215179/b215179.txt">Table of n, a(n) for n = 1..85</a>
%e Some solutions for n=4
%e .....2........2........2........2........2........3........3........2
%e ....1.3......1.3......1.3......2.2......1.3......2.4......3.3......2.2
%e ...1.2.3....0.2.4....0.3.3....1.2.3....1.2.3....2.3.4....2.3.4....0.3.3
%e ..1.1.3.3..0.0.3.5..0.2.3.3..0.2.3.3..0.0.3.5..0.2.5.5..0.3.4.5..0.0.4.4
%K nonn
%O 1,1
%A _R. H. Hardin_ Aug 05 2012
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