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A167253 Number of ways to partition an n X 6 grid into 3 connected equal-area regions 0

%I #4 Apr 04 2016 16:19:50

%S 1,9,132,1787,22889,264500

%N Number of ways to partition an n X 6 grid into 3 connected equal-area regions

%e Some solutions for n=4

%e ...1.1.1.1.1.2...1.1.1.1.1.1...1.1.1.1.2.2...1.1.1.2.2.2...1.1.2.2.2.2

%e ...1.1.3.2.2.2...2.2.2.2.3.1...1.1.1.2.2.2...1.3.3.2.2.2...1.2.2.2.3.2

%e ...3.1.3.2.2.2...2.2.2.2.3.1...3.3.1.2.2.2...1.1.3.3.2.2...1.3.3.3.3.3

%e ...3.3.3.3.3.2...3.3.3.3.3.3...3.3.3.3.3.3...1.1.3.3.3.3...1.1.1.1.3.3

%e ------

%e ...1.1.1.1.2.3...1.1.1.2.3.3...1.2.2.2.2.2...1.1.2.3.3.3...1.1.1.1.1.1

%e ...1.2.1.2.2.3...1.2.2.2.3.3...1.2.1.2.3.2...1.1.2.2.3.3...2.2.2.2.1.1

%e ...1.2.2.2.3.3...1.2.2.2.3.3...1.1.1.1.3.3...1.1.2.2.2.3...2.3.3.3.3.3

%e ...1.2.3.3.3.3...1.1.1.2.3.3...1.3.3.3.3.3...1.1.2.2.3.3...2.2.2.3.3.3

%e ------

%e ...1.1.1.1.1.1...1.1.2.2.2.2...1.2.2.2.3.3...1.1.1.1.1.1...1.1.1.1.1.1

%e ...1.2.2.2.3.1...1.3.3.3.3.2...1.1.1.2.3.3...2.1.2.1.3.3...2.2.2.2.2.1

%e ...2.2.3.2.3.3...1.3.1.3.3.2...1.2.2.2.2.3...2.2.2.2.2.3...2.2.3.3.3.1

%e ...2.2.3.3.3.3...1.1.1.3.2.2...1.1.1.3.3.3...2.3.3.3.3.3...2.3.3.3.3.3

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 31 2009

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