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A167241 Number of ways to partition a 4*n X 2 grid into 8 connected equal-area regions 0
1, 34, 153, 1156, 4361, 16182, 44561, 115784 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..8.

EXAMPLE

Some solutions for n=4

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

...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

CROSSREFS

Sequence in context: A180759 A159744 A192398 * A028470 A221806 A321533

Adjacent sequences:  A167238 A167239 A167240 * A167242 A167243 A167244

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 31 2009

STATUS

approved

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Last modified June 21 15:22 EDT 2021. Contains 345364 sequences. (Running on oeis4.)