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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 nondecreasing order.
0

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

%S 0,105,2930,26463,147567,619558,2147828,6473764

%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 nondecreasing order.

%e Some solutions for n=3

%e ...1.2.4...1.1.2...1.1.3...1.5.5...2.2.4...2.2.4...1.3.3...2.2.4...1.1.5

%e ...1.3.5...1.4.2...2.2.5...4.2.2...2.5.1...2.2.4...4.3.3...3.3.3...1.4.5

%e ...1.3.5...5.3.2...2.4.4...4.3.3...3.3.3...3.5.1...5.2.2...3.5.1...2.3.3

%e ------

%e ...3.3.4...1.3.5...1.1.5...1.2.4...1.2.5...1.3.4...1.2.4...1.1.5...1.4.4

%e ...5.5.1...2.4.5...2.3.4...1.3.3...2.2.5...2.3.5...3.5.4...3.3.5...2.2.4

%e ...5.5.2...4.4.5...2.3.4...1.3.5...4.3.3...5.5.5...3.5.4...3.4.2...5.3.4

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2009