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Number of nX3 1..6 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 increasing order.
0

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

%S 0,90,8688,138076,1131209,6387949

%N Number of nX3 1..6 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 increasing order.

%e Some solutions for n=3

%e ...1.2.4...1.4.5...1.3.4...1.4.4...1.6.6...1.3.4...1.1.4...1.2.3...2.3.4

%e ...1.6.5...3.2.6...5.5.5...2.3.6...2.3.5...6.6.2...1.2.3...1.6.5...3.3.6

%e ...3.6.6...6.6.6...6.2.2...5.5.5...2.4.4...6.6.5...5.5.6...4.6.6...5.5.1

%e ------

%e ...1.3.6...1.2.5...1.2.5...1.1.6...3.5.5...1.3.3...1.2.6...1.3.6...1.2.5

%e ...2.3.3...4.3.5...3.3.3...2.3.3...4.1.2...2.5.5...3.2.2...4.2.6...3.3.5

%e ...5.4.3...4.6.5...6.6.4...5.3.4...6.1.2...4.5.6...5.5.4...4.5.5...6.4.5

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2009