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%I #7 May 11 2016 15:06:29
%S 1,3,10,23,56,132,259,546,1095,2043,3908,7379,13208,24194,43819,76790,
%T 136489,241311,416152,726073,1261696,2153026,3706393,6364842,10775173,
%U 18374181
%N Number of ways to partition an n X 3 grid into 3 connected equal-area regions.
%e All solutions for n=4
%e ...1.1.2...1.1.2...1.1.2...1.1.2...1.1.2...1.1.2...1.1.1...1.1.1...1.1.1
%e ...1.2.2...1.2.2...1.1.2...1.1.2...1.3.2...3.1.2...1.2.2...1.2.2...1.2.2
%e ...1.2.3...1.3.2...3.2.2...3.3.2...1.3.2...3.1.2...2.2.3...3.2.2...3.3.2
%e ...3.3.3...3.3.3...3.3.3...3.3.2...3.3.2...3.3.2...3.3.3...3.3.3...3.3.2
%e ------
%e ...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.1.1...1.2.2...1.2.2
%e ...1.2.3...2.2.1...2.2.1...2.2.1...2.1.3...2.1.3...2.3.1...1.2.2...1.2.2
%e ...2.2.3...2.2.3...2.3.3...3.2.2...2.2.3...2.3.3...2.3.3...1.1.3...1.3.3
%e ...2.3.3...3.3.3...2.3.3...3.3.3...2.3.3...2.2.3...2.2.3...3.3.3...1.3.3
%e ------
%e ...1.2.2...1.2.2...1.2.2...1.2.2...1.2.3
%e ...1.2.3...1.1.2...1.1.2...1.3.2...1.2.3
%e ...1.2.3...1.3.2...3.1.2...1.3.2...1.2.3
%e ...1.3.3...3.3.3...3.3.3...1.3.3...1.2.3
%Y Cf. A167242.
%K nonn
%O 1,2
%A _R. H. Hardin_, Oct 31 2009
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