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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.
0

%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