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A167241 Number of ways to partition a 4*n X 2 grid into 8 connected equal-area regions 0

%I #3 Mar 31 2012 12:35:36

%S 1,34,153,1156,4361,16182,44561,115784

%N Number of ways to partition a 4*n X 2 grid into 8 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...1.2...1.1...1.1...1.1...1.1...1.1

%e ...2.1...2.1...1.2...1.1...2.1...1.2...1.2...1.2...1.2...1.1...1.2...1.2...2.1

%e ...2.1...2.1...1.2...2.2...2.1...1.2...1.2...1.2...1.2...2.2...1.2...1.2...2.1

%e ...2.2...2.2...2.2...3.2...2.3...2.2...3.2...1.2...2.2...2.3...2.2...3.2...2.3

%e ...3.3...3.3...3.3...3.2...2.3...3.3...3.2...3.4...3.3...2.3...3.3...3.2...2.3

%e ...3.4...3.3...3.4...3.3...3.3...4.3...3.3...3.4...3.4...3.3...4.3...3.3...3.3

%e ...3.4...4.4...3.4...4.4...4.4...4.3...4.4...3.4...3.4...4.4...4.3...4.4...4.4

%e ...5.4...5.4...4.4...4.5...4.4...4.4...5.4...3.4...5.4...4.5...4.5...4.4...4.5

%e ...5.4...5.4...5.5...4.5...5.5...5.5...5.4...5.6...5.4...4.5...4.5...5.5...4.5

%e ...5.5...5.5...6.5...5.5...5.6...5.5...5.6...5.6...5.5...5.5...6.5...6.5...5.5

%e ...6.6...6.6...6.5...6.6...5.6...6.7...5.6...5.6...6.6...6.6...6.5...6.5...6.6

%e ...6.7...6.6...6.7...6.7...6.6...6.7...7.6...5.6...6.6...6.7...6.7...6.7...6.6

%e ...6.7...7.7...6.7...6.7...7.7...6.7...7.6...7.7...7.7...6.7...6.7...6.7...7.7

%e ...8.7...7.8...8.7...8.7...7.8...6.7...7.7...7.7...7.7...8.7...8.7...7.7...7.8

%e ...8.7...7.8...8.7...8.7...7.8...8.8...8.8...8.8...8.8...8.7...8.7...8.8...7.8

%e ...8.8...8.8...8.8...8.8...8.8...8.8...8.8...8.8...8.8...8.8...8.8...8.8...8.8

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 31 2009

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