%I #4 Jul 29 2012 08:12:15
%S 5,9,29,182,1802,29162,657722,21063242,892354322,48771558002,
%T 3355941877202,288300261981602,29970020819138402,3775596638574103202,
%U 566303743347081854402,100233490058027413401602
%N Number of nXnXn triangular 0..4 arrays with every horizontal row nondecreasing and having the same average value
%C Column 4 of A214906
%H R. H. Hardin, <a href="/A214902/b214902.txt">Table of n, a(n) for n = 1..120</a>
%e Some solutions for n=4
%e .....1........2........3........2........1........3........2........2
%e ....1.1......0.4......2.4......2.2......0.2......3.3......1.3......0.4
%e ...0.1.2....0.2.4....3.3.3....1.1.4....0.0.3....2.3.4....1.1.4....0.2.4
%e ..0.0.0.4..0.2.3.3..0.4.4.4..1.1.2.4..1.1.1.1..1.3.4.4..0.1.3.4..1.2.2.3
%K nonn
%O 1,1
%A _R. H. Hardin_ Jul 29 2012
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