A166823 - OEIS

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

%S 0,9,118,746,3244,11187,32856,85642,203393

%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 increasing order.

%e Some solutions for n=4

%e ...1.1.3.3...1.1.1.2...1.1.1.3...1.1.2.2...1.1.1.3...1.2.3.3...1.2.3.3

%e ...1.2.2.3...1.1.2.2...1.2.3.3...1.2.2.3...1.1.2.3...2.2.2.3...1.2.3.3

%e ...2.2.2.3...1.2.2.2...1.2.3.3...1.2.3.3...1.2.2.2...2.2.2.3...1.2.3.3

%e ...2.2.2.3...3.3.2.2...2.2.2.3...2.2.3.3...1.2.2.2...2.3.3.3...2.2.2.3

%e ------

%e ...1.1.1.1...1.2.2.2...1.1.1.3...1.1.3.3...1.1.1.2...1.1.2.2...1.1.3.3

%e ...1.1.1.3...1.2.2.3...1.1.2.3...1.1.3.3...1.1.2.2...1.2.2.3...1.2.2.3

%e ...1.1.3.3...2.2.3.3...1.3.3.3...2.2.2.3...1.1.3.2...2.2.3.3...1.2.3.3

%e ...1.3.3.2...2.2.3.3...3.3.3.3...2.3.3.3...1.2.2.2...3.3.3.3...1.2.3.3

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 21 2009