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A167243 Number of ways to partition an n X 3 grid into 3 connected equal-area regions. 1

%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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Last modified February 22 13:38 EST 2024. Contains 370256 sequences. (Running on oeis4.)