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Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other
1

%I #5 Mar 31 2012 12:36:43

%S 6,2,34,24,306,152,2697,1709,26353,14274,256132,155679,2577102,

%T 1435626,25812024,15341134,262850473,148007489,2677750617,1572346141,

%U 27580713570,15652657223,284558852486,165998453918,2956634276151,1686097239526

%N Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Column 2 of A201235

%H R. H. Hardin, <a href="/A201229/b201229.txt">Table of n, a(n) for n = 1..82</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2011