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Number of nX3 1..5 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in decreasing order.
0

%I #3 Mar 31 2012 12:35:36

%S 0,55,1660,16140,94851,414837,1487423,4614260

%N Number of nX3 1..5 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in decreasing order.

%e Some solutions for n=3

%e ...3.2.1...3.2.1...2.2.1...4.4.2...3.3.1...3.2.2...3.1.1...4.1.1...3.3.1

%e ...3.2.2...3.4.5...3.1.1...5.1.2...3.3.2...4.4.2...4.4.4...4.5.3...5.3.2

%e ...4.5.2...5.5.5...4.5.1...5.5.3...5.4.2...4.5.1...4.5.2...5.5.2...5.4.2

%e ------

%e ...2.1.1...2.1.1...3.2.1...2.2.1...4.3.1...3.3.1...4.3.1...3.2.1...3.2.2

%e ...4.3.1...2.5.4...3.4.1...4.2.1...4.4.2...5.2.1...4.4.2...3.4.5...4.5.1

%e ...5.5.5...3.5.4...3.5.5...5.2.3...5.4.4...5.4.1...4.5.5...3.4.5...5.5.1

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2009