%I #3 Mar 31 2012 12:35:36
%S 3,69,443,1871,6301,18295,47655,113995,254280,534707
%N Number of nX4 1..3 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=4
%e ...1.2.3.3...1.1.2.2...1.1.1.1...1.1.2.2...1.1.1.2...1.1.1.2...1.1.2.3
%e ...2.2.2.3...1.2.2.2...1.1.3.3...1.1.2.2...1.1.1.2...1.1.3.2...1.2.2.3
%e ...3.3.2.3...1.3.2.2...1.2.3.3...1.2.2.2...1.1.3.2...1.3.3.3...1.2.3.3
%e ...3.3.3.3...3.3.2.2...1.2.3.3...1.2.2.3...1.2.2.2...3.3.3.3...2.2.3.3
%e ------
%e ...1.1.1.3...1.1.1.2...1.3.3.3...1.1.1.1...1.2.2.2...1.2.2.2...1.1.2.2
%e ...1.1.3.3...1.1.3.2...2.2.3.3...1.1.2.3...1.2.2.2...2.2.2.3...1.1.2.3
%e ...1.2.3.2...1.2.2.2...2.3.3.3...1.2.2.3...1.2.2.3...2.2.3.3...1.1.2.3
%e ...2.2.2.2...1.2.2.2...3.3.3.3...1.2.3.3...1.2.2.3...3.3.3.3...2.2.2.2
%K nonn
%O 1,1
%A _R. H. Hardin_ Oct 21 2009