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%I #3 Mar 31 2012 12:35:36
%S 1,13,41,169,441,1109,2289,4497,7953,13533,21593,33465,49673,72101,
%T 101473,140321,189601
%N Number of ways to partition a 3*n X 2 grid into 6 connected equal-area regions
%e Some solutions for n=4
%e ...1.1...1.2...1.1...1.1...1.1...1.1...1.2...1.1...1.1...1.1...1.1...1.1...1.1
%e ...1.2...1.2...1.2...1.2...1.2...1.2...1.2...1.1...1.2...1.1...1.1...2.1...2.1
%e ...1.2...1.2...1.2...1.2...1.2...1.2...1.2...2.2...1.2...2.2...2.2...2.1...2.1
%e ...3.2...1.2...2.2...2.2...3.2...2.2...1.2...3.2...2.2...2.3...2.3...2.3...2.2
%e ...3.2...3.3...3.3...3.3...3.2...3.3...3.4...3.2...3.3...2.3...2.3...2.3...3.3
%e ...3.3...3.3...3.4...4.3...3.4...3.3...3.4...3.4...3.3...3.3...3.3...3.3...4.3
%e ...4.4...4.4...3.4...4.3...3.4...4.4...3.4...3.4...4.4...4.4...4.4...4.4...4.3
%e ...5.4...5.4...5.4...4.4...4.4...4.4...3.4...4.4...4.5...4.4...4.4...4.4...4.4
%e ...5.4...5.4...5.4...5.6...5.5...5.5...5.5...5.5...4.5...5.5...5.6...5.5...5.5
%e ...5.6...5.5...5.6...5.6...5.6...5.6...6.5...6.5...6.5...5.5...5.6...5.5...5.5
%e ...5.6...6.6...5.6...5.6...5.6...5.6...6.5...6.5...6.5...6.6...5.6...6.6...6.6
%e ...6.6...6.6...6.6...5.6...6.6...6.6...6.6...6.6...6.6...6.6...5.6...6.6...6.6
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 31 2009
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