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Number of nX6 0..5 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other
0

%I #4 Mar 31 2012 12:36:43

%S 1,51,758,13009,120096,1268728,8360853,58395657,309819522,1599103606,

%T 6891312239,29648211631,108584697209,395584327260,1292379405268,

%U 4136956355752,12134954233672,35217094178978

%N Number of nX6 0..5 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other

%C Column 6 of A201142

%e Some solutions for n=4

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

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

%e ..1..1..2..2..4..5....1..2..4..4..5..5....1..2..2..3..3..4....1..2..3..3..4..5

%e ..3..3..4..5..5..5....2..3..4..4..5..5....3..4..5..5..5..5....1..2..4..5..5..5

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 27 2011