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A167255 Number of ways to partition an n X 7 grid into 7 connected equal-area regions 1

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

%S 1,21,441,9157,214689,5850115,158753814,4292655082

%N Number of ways to partition an n X 7 grid into 7 connected equal-area regions

%e Some solutions for n=4

%e ...1.1.1.2.3.3.3...1.2.2.2.3.3.4...1.1.1.1.2.2.3...1.2.2.2.2.3.4

%e ...1.4.4.2.2.5.3...1.2.5.5.5.3.4...4.4.4.4.5.2.3...1.5.6.6.3.3.4

%e ...6.6.4.4.2.5.5...1.6.6.6.5.3.4...6.7.7.7.5.2.3...1.5.6.6.7.3.4

%e ...6.6.7.7.7.7.5...1.6.7.7.7.7.4...6.6.6.7.5.5.3...1.5.5.7.7.7.4

%e ------

%e ...1.1.1.1.2.2.3...1.2.2.3.4.4.4...1.2.3.3.3.4.4...1.1.2.2.2.3.3

%e ...4.4.5.2.2.6.3...1.1.2.3.3.4.5...1.2.2.3.5.4.4...4.1.5.2.6.7.3

%e ...4.5.5.5.6.6.3...6.1.2.3.7.5.5...1.2.6.6.5.7.7...4.1.5.6.6.7.3

%e ...4.7.7.7.7.6.3...6.6.6.7.7.7.5...1.6.6.5.5.7.7...4.4.5.5.6.7.7

%e ------

%e ...1.1.1.2.3.4.4...1.1.1.1.2.3.3...1.2.2.3.4.5.5...1.1.1.2.2.3.3

%e ...5.1.2.2.3.6.4...4.4.2.2.2.5.3...1.2.2.3.4.5.5...1.4.2.2.5.5.3

%e ...5.5.5.2.3.6.4...4.6.6.6.6.5.3...1.1.6.3.4.7.7...6.4.4.4.5.5.3

%e ...7.7.7.7.3.6.6...4.7.7.7.7.5.5...6.6.6.3.4.7.7...6.6.6.7.7.7.7

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 31 2009

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