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Number of nX3 0..4 arrays with every row and column running average 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 17,41,296,4238,3602,249211,1055902,8657121,141222119,127874916,

%T 9959532190,42952255903,362588593757,6102371958391,5510612701449,

%U 446546458762938,1940123176320382,16627869936250796,282670200216013184

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

%C Column 3 of A201033

%H R. H. Hardin, <a href="/A201028/b201028.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 26 2011