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Number of nX3 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other
1

%I #5 Mar 31 2012 12:36:42

%S 10,20,92,537,140,3157,3604,6692,26168,5408,84188,69613,118244,371475,

%T 57479,864418,645309,916025,2639447,387005,5166751,3514237,4833175,

%U 12896465,1709869,22408038,14621090,18653741,47941297,6213321,76880715

%N Number of nX3 0..4 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 3 of A200990

%H R. H. Hardin, <a href="/A200985/b200985.txt">Table of n, a(n) for n = 1..103</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 25 2011