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%I #4 Aug 05 2012 06:10:02
%S 5,9,22,83,412,3216,36645,635051,14920889,488255207,20925387170,
%T 1149691363211,79301409027598,6819240506185074,709180385547570205,
%U 89356029012630707211,13403374746065668105583,2372395952629601456230037
%N Number of nXnXn triangular 0..4 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 4 of A215182
%H R. H. Hardin, <a href="/A215178/b215178.txt">Table of n, a(n) for n = 1..109</a>
%e Some solutions for n=4
%e .....2........2........3........2........2........4........1........2
%e ....2.2......1.3......3.3......2.2......1.3......4.4......0.2......2.2
%e ...0.3.3....0.2.4....1.4.4....1.1.4....1.1.4....4.4.4....0.1.2....2.2.2
%e ..0.0.4.4..0.0.4.4..0.4.4.4..1.1.2.4..0.2.2.4..4.4.4.4..0.0.2.2..1.1.3.3
%K nonn
%O 1,1
%A _R. H. Hardin_ Aug 05 2012
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