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Number of nX4 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
1

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

%S 15,135,117,7642,38763,13009,593543,2004404,480902,17798640,46620769,

%T 8409817,276582081,623837286,94647698,2773619630,5579098622,763698176,

%U 20588470139,37779725883,4685012892,119748754402,206463265860

%N Number of nX4 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 4 of A201142

%H R. H. Hardin, <a href="/A201138/b201138.txt">Table of n, a(n) for n = 1..42</a>

%e Some solutions for n=6

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

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

%e ..0..1..2..5....1..3..3..4....1..2..3..4....1..2..2..5....1..1..2..3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 27 2011