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%I #4 Apr 04 2016 16:19:50
%S 1,6,85,856,8171,80518
%N Number of ways to partition an n X 6 grid into 2 connected equal-area regions
%e Some solutions for n=4
%e ...1.1.1.1.1.1...1.1.1.1.1.1...1.1.1.1.1.2...1.1.1.1.1.1...1.1.1.1.1.1
%e ...1.2.1.2.2.2...1.2.2.2.1.2...1.2.2.1.1.2...1.1.1.2.1.2...2.1.1.1.1.2
%e ...1.2.1.1.1.2...1.2.2.2.2.2...1.2.2.1.1.2...2.1.2.2.1.2...2.2.2.1.1.2
%e ...2.2.2.2.2.2...1.1.1.2.2.2...1.2.2.2.2.2...2.2.2.2.2.2...2.2.2.2.2.2
%e ------
%e ...1.1.1.1.1.1...1.1.1.1.1.1...1.1.1.2.2.2...1.2.2.2.2.2...1.1.1.1.1.1
%e ...1.1.2.2.2.1...1.1.1.2.1.1...1.2.2.2.2.2...1.1.1.2.1.2...1.2.1.2.2.1
%e ...1.2.2.2.1.1...1.2.2.2.2.2...1.2.2.1.1.2...1.2.2.2.1.2...1.2.2.2.2.2
%e ...2.2.2.2.2.2...2.2.2.2.2.2...1.1.1.1.1.2...1.1.1.1.1.2...1.1.2.2.2.2
%e ------
%e ...1.1.1.1.1.2...1.1.1.1.1.1...1.1.1.1.1.1...1.1.1.1.1.1...1.1.1.1.1.2
%e ...1.1.2.1.2.2...1.1.2.1.2.1...1.1.1.1.2.1...2.1.2.1.1.1...1.1.1.1.2.2
%e ...1.2.2.2.2.2...1.2.2.2.2.1...1.2.2.2.2.2...2.1.2.1.2.2...1.2.1.1.2.2
%e ...1.1.1.2.2.2...2.2.2.2.2.2...2.2.2.2.2.2...2.2.2.2.2.2...2.2.2.2.2.2
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 31 2009