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%I #4 Aug 05 2012 06:17:27
%S 2,17,80,412,1558,5096,14826,39630,97184,223612,482160,991120,1946560,
%T 3679402,6713958,11870167,20399452,34184289,55959254,89708318,
%U 140988720,217682282,330552474,494354268,728865852,1060428048,1523781598
%N Number of 5X5X5 triangular 0..n 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 Row 5 of A215182
%H R. H. Hardin, <a href="/A215185/b215185.txt">Table of n, a(n) for n = 1..147</a>
%e Some solutions for n=4
%e ......2..........1..........2..........3..........3..........2..........2
%e .....2.2........0.2........1.3........3.3........2.4........2.2........2.2
%e ....1.1.4......0.1.2......1.1.4......3.3.3......2.3.4......2.2.2......0.3.3
%e ...1.1.2.4....0.1.1.2....1.1.2.4....1.3.4.4....2.3.3.4....0.1.3.4....0.2.3.3
%e ..1.1.1.3.4..0.0.0.1.4..0.1.2.3.4..0.3.4.4.4..2.2.3.4.4..0.2.2.2.4..0.1.3.3.3
%K nonn
%O 1,1
%A _R. H. Hardin_ Aug 05 2012
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