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%I #3 Mar 31 2012 12:35:36
%S 0,0,55,478,2167,7125,19234,45351,96802,191358,355785,629068,1066417,
%T 1744171,2765724,4268605,6432852,9490828,13738635,19549290,27387835,
%U 37828561,51574534,69479619,92573206,122087850
%N Number of nX2 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 nonincreasing order.
%F Empirical: a(n)=(n^8+32*n^7+420*n^6+1862*n^5-4431*n^4-23002*n^3+59450*n^2-39372*n+5040)/5040
%e Some solutions for n=4
%e ...1.1...3.1...1.1...2.1...3.3...3.1...2.2...3.2...1.1...4.1...2.1...3.3...2.1
%e ...2.2...3.5...2.1...2.2...3.3...3.2...3.2...3.4...2.1...4.2...3.3...4.2...2.4
%e ...3.2...3.5...3.3...2.3...4.1...4.4...3.5...4.4...3.3...4.2...4.3...4.2...2.5
%e ...5.4...4.2...5.4...5.4...5.2...5.4...4.1...5.1...4.5...5.3...5.3...5.1...3.3
%e ------
%e ...3.2...3.3...2.2...2.2...2.1...3.2...1.1...3.1...3.1...3.2...3.3...3.1...3.1
%e ...3.4...4.2...3.1...3.1...2.3...5.1...3.3...4.2...3.5...3.3...4.1...3.1...3.2
%e ...5.1...5.1...4.1...3.3...4.3...5.1...4.2...4.2...4.2...5.1...5.2...4.1...3.2
%e ...5.5...5.5...5.5...5.4...4.5...5.4...5.2...5.2...4.4...5.4...5.2...5.2...5.4
%K nonn
%O 1,3
%A _R. H. Hardin_ Oct 21 2009
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