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A167257 Number of ways to partition an n X 8 grid into 4 connected equal-area regions 0

%I

%S 1,25,1038,39731,1596459

%N Number of ways to partition an n X 8 grid into 4 connected equal-area regions

%e Some solutions for n=3

%e ...1.1.1.1.1.2.3.3...1.2.2.2.2.2.3.4...1.1.1.1.2.3.3.3...1.1.1.2.2.2.2.2

%e ...1.4.2.2.2.2.2.3...1.1.2.3.3.3.3.4...1.2.2.2.2.4.4.3...1.3.1.2.4.4.4.4

%e ...4.4.4.4.4.3.3.3...1.1.1.3.4.4.4.4...1.2.4.4.4.4.3.3...1.3.3.3.3.3.4.4

%e ------

%e ...1.2.2.2.2.3.3.3...1.2.2.2.3.3.3.3...1.1.1.2.2.3.3.3...1.2.2.3.3.3.3.3

%e ...1.2.2.4.4.4.3.3...1.2.2.2.4.4.3.3...4.1.1.1.2.2.3.3...1.1.2.2.3.4.4.4

%e ...1.1.1.1.4.4.4.3...1.1.1.1.4.4.4.4...4.4.4.4.4.2.2.3...1.1.1.2.2.4.4.4

%e ------

%e ...1.1.1.1.2.2.2.2...1.1.1.2.2.2.3.3...1.2.2.2.2.3.4.4...1.1.1.1.1.2.2.3

%e ...1.3.1.4.4.4.4.2...1.2.2.2.3.3.3.3...1.2.2.3.3.3.3.4...1.4.4.4.2.2.3.3

%e ...3.3.3.3.3.4.4.2...1.1.4.4.4.4.4.4...1.1.1.1.3.4.4.4...4.4.4.2.2.3.3.3

%e ------

%e ...1.1.2.2.3.4.4.4...1.1.2.3.3.3.3.3...1.1.1.1.2.2.3.3...1.1.2.2.3.4.4.4

%e ...1.1.2.2.3.4.4.4...1.1.2.2.4.4.3.4...4.1.1.4.2.2.3.3...1.2.2.2.3.4.4.4

%e ...1.1.2.2.3.3.3.3...1.1.2.2.2.4.4.4...4.4.4.4.2.2.3.3...1.1.1.2.3.3.3.3

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 31 2009

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