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Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards
1

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

%S 10,50,216,867,3318,12314,44858,161257,574237,2029778,7132780,

%T 24943546,86875164,301535122,1043529630,3602228998,12407419230,

%U 42653320657,146380696477,501599529832,1716499421419,5866845453921,20030578702565

%N Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards

%C Column 2 of A201216

%H R. H. Hardin, <a href="/A201210/b201210.txt">Table of n, a(n) for n = 1..180</a>

%e Some solutions for n=7

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 28 2011