A214903 - OEIS

%I #4 Jul 29 2012 08:13:00

%S 6,12,50,458,7550,210914,8943218,560965610,49301091506,5963375071586,

%T 960019298157026,203519951213429090,55357173186669891938,

%U 19153563370287789473858,8293491297187189536699650

%N Number of nXnXn triangular 0..5 arrays with every horizontal row nondecreasing and having the same average value

%C Column 5 of A214906

%H R. H. Hardin, <a href="/A214903/b214903.txt">Table of n, a(n) for n = 1..107</a>

%e Some solutions for n=4

%e .....4........2........3........4........4........3........3........4

%e ....4.4......0.4......2.4......3.5......3.5......3.3......1.5......3.5

%e ...3.4.5....1.2.3....2.2.5....3.4.5....3.4.5....3.3.3....2.3.4....4.4.4

%e ..4.4.4.4..0.0.3.5..2.3.3.4..3.4.4.5..3.3.5.5..1.3.4.4..3.3.3.3..3.3.5.5

%K nonn

%O 1,1

%A _R. H. Hardin_ Jul 29 2012