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Number of nX3 arrays containing 3 copies of 0..n-1 with rows and columns nondecreasing.
0

%I #4 Aug 12 2016 07:05:15

%S 1,2,7,29,140,758,4448,27782,182322,1245399,8793649,63844600,

%T 474662243,3601895485,27823860424,218325937188,1737070192604

%N Number of nX3 arrays containing 3 copies of 0..n-1 with rows and columns nondecreasing.

%C Column 3 of A265005.

%e Some solutions for n=4

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

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

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

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

%Y Cf. A265005.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 29 2015