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Number of nX3 0..4 arrays with every row and column running average nondecreasing rightwards and downwards
1

%I #5 Mar 31 2012 12:36:41

%S 42,647,8535,103528,1194898,13295014,144195756,1532754468,16036647028,

%T 165590166035,1691004116711,17103881636663,171555367761442,

%U 1708005328930678,16892696764660692,166083227626724726

%N Number of nX3 0..4 arrays with every row and column running average nondecreasing rightwards and downwards

%C Column 3 of A200858

%H R. H. Hardin, <a href="/A200853/b200853.txt">Table of n, a(n) for n = 1..39</a>

%e Some solutions for n=4

%e ..0..0..2....0..1..2....0..0..1....0..1..1....0..0..0....0..2..2....0..0..0

%e ..0..0..2....0..1..3....0..1..1....2..3..4....2..2..4....0..4..3....0..3..4

%e ..4..4..4....1..3..4....3..4..4....1..3..3....2..2..4....2..3..3....1..2..4

%e ..2..3..4....3..3..4....3..4..4....1..3..4....3..3..4....1..4..3....4..4..4

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 23 2011