A167239 Number of ways to partition a 5*n X 2 grid into 5 connected equal-area regions

8, 64, 288, 880, 2120, 4368, 8064, 13728, 21960, 33440, 48928, 69264

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

Some solutions for n=4
...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1
...1.1...1.2...1.1...1.1...1.1...2.1...1.1...2.1...1.1...1.2...1.1...1.1...1.1
...1.1...1.2...2.1...1.2...2.1...2.1...1.2...2.1...1.1...1.2...1.1...1.2...1.1
...2.1...1.2...2.1...1.2...2.1...2.1...1.2...2.1...1.2...1.2...2.1...1.2...1.2
...2.1...1.2...2.1...1.2...2.1...2.1...1.2...2.1...1.2...1.2...2.1...1.2...1.2
...2.2...1.2...2.1...1.2...2.1...2.1...1.2...2.1...2.2...1.2...2.2...1.2...2.2
...2.2...1.2...2.2...3.2...2.2...2.1...2.2...2.1...2.2...1.2...2.2...2.2...2.2
...2.2...3.2...2.2...3.2...2.2...2.2...2.2...2.3...3.2...2.2...2.3...2.2...3.2
...3.4...3.2...3.3...3.2...3.3...3.3...3.3...2.3...3.2...3.3...2.3...3.3...3.2
...3.4...3.3...3.3...3.2...3.3...3.3...3.3...3.3...3.3...3.3...3.3...3.3...3.3
...3.4...3.3...3.3...3.3...3.3...3.3...3.3...3.3...3.3...4.3...3.3...3.3...3.3
...3.4...3.4...4.3...3.3...3.3...3.3...4.3...3.4...4.3...4.3...3.3...3.3...3.3
...3.4...3.4...4.3...4.4...4.4...4.4...4.3...3.4...4.3...4.3...4.4...4.4...4.5
...3.4...4.4...4.5...4.4...4.5...4.4...4.4...4.4...4.4...4.3...4.4...4.4...4.5
...3.4...5.4...4.5...4.5...4.5...4.4...5.4...4.4...4.5...4.4...4.4...4.4...4.5
...3.4...5.4...4.5...4.5...4.5...5.4...5.4...4.5...4.5...4.5...5.4...4.5...4.5
...5.5...5.4...4.5...4.5...4.5...5.4...5.4...4.5...4.5...4.5...5.4...4.5...4.5
...5.5...5.4...4.5...4.5...4.5...5.5...5.4...5.5...4.5...5.5...5.5...5.5...4.5
...5.5...5.5...4.5...5.5...4.5...5.5...5.5...5.5...5.5...5.5...5.5...5.5...4.5
...5.5...5.5...5.5...5.5...5.5...5.5...5.5...5.5...5.5...5.5...5.5...5.5...4.5

Crossrefs

Sequence in context: A045825 A208143 A189265 * A236554 A173502 A223670

Adjacent sequences: A167236 A167237 A167238 * A167240 A167241 A167242

Keyword

nonn

Author

R. H. Hardin Oct 31 2009

Status

approved