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Number of nX4 0..2 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 12:36:40

%S 7,20,31,342,1368,1806,18801,66784,80772,855668,3041384,3594128,

%T 37388832,130414591,152057520,1585602417,5503438740,6353866245,

%U 65731117389,226849040721,260912168378,2698875915314,9278417689608,10609858568929

%N Number of nX4 0..2 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 4 of A200777

%H R. H. Hardin, <a href="/A200773/b200773.txt">Table of n, a(n) for n = 1..43</a>

%e Some solutions for n=5

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 22 2011