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Number of ways to partition a 2*n X 3 grid into 6 connected equal-area regions
0

%I #5 Oct 13 2024 08:36:08

%S 1,11,170,997,7670,62609,296063,1685893,9684421,41633825

%N Number of ways to partition a 2*n X 3 grid into 6 connected equal-area regions

%F a(n) = A167262(2n,3). - _R. J. Mathar_, Oct 13 2024

%e Some solutions for n=4

%e ...1.1.2...1.1.1...1.1.2...1.1.2...1.1.1...1.2.2...1.2.2...1.2.2...1.1.1

%e ...1.2.2...2.1.3...3.1.2...1.2.2...2.3.1...1.2.2...1.1.2...1.2.2...2.1.3

%e ...1.3.2...2.3.3...3.1.2...1.2.3...2.3.3...1.3.3...1.3.2...1.3.3...2.3.3

%e ...3.3.4...2.2.3...3.4.2...4.3.3...2.3.4...1.3.3...3.3.4...1.3.3...2.4.3

%e ...3.4.4...4.4.4...3.4.4...4.4.3...2.4.4...4.4.4...5.3.4...4.4.4...2.4.4

%e ...5.4.6...5.4.6...5.5.4...5.4.6...5.4.6...4.5.5...5.6.4...4.5.5...5.4.6

%e ...5.5.6...5.5.6...6.5.5...5.6.6...5.5.6...6.5.5...5.6.4...6.6.5...5.5.6

%e ...5.6.6...5.6.6...6.6.6...5.5.6...5.6.6...6.6.6...5.6.6...6.6.5...5.6.6

%K nonn

%O 1,2

%A _R. H. Hardin_ Oct 31 2009