A167245 Number of ways to partition a 2*n X 3 grid into 6 connected equal-area regions

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

Offset

1,2

Links

Table of n, a(n) for n=1..10.

Example

Some solutions for n=4
...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
...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
...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
...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
...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
...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
...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
...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

Crossrefs

Sequence in context: A157944 A362501 A233290 * A331929 A205087 A064182

Adjacent sequences: A167242 A167243 A167244 * A167246 A167247 A167248

Keyword

nonn

Author

R. H. Hardin Oct 31 2009

Status

approved