%I #3 Mar 31 2012 12:35:36
%S 0,30,3948,70534,617197,3653765,16800487
%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 nonincreasing order.
%e Some solutions for n=3
%e ...2.2.1...3.2.1...2.1.1...3.1.1...3.3.2...2.1.1...3.3.2...5.2.2...2.1.1
%e ...3.2.6...4.4.5...4.6.3...4.2.2...5.4.2...4.5.5...5.5.4...5.3.1...5.4.4
%e ...5.5.4...4.6.6...5.6.6...6.6.5...6.1.1...4.6.3...6.6.1...6.4.1...6.6.3
%e ------
%e ...3.3.1...3.2.1...4.3.2...3.2.1...4.4.1...3.2.2...2.1.1...3.1.1...1.1.1
%e ...5.2.4...3.2.4...4.6.1...4.2.2...5.3.3...4.6.1...2.5.4...5.6.2...4.3.1
%e ...6.6.4...6.2.5...5.6.1...5.5.6...6.3.2...6.6.5...3.5.6...6.6.4...5.2.6
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 21 2009