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A167246 Number of ways to partition a 3*n X 3 grid into 9 connected equal-area regions 0
1, 41, 3127, 44855, 1082911, 29384641, 331247456 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..7.

EXAMPLE

Some solutions for n=3

...1.2.2...1.2.2...1.2.3...1.1.2...1.1.2...1.1.1...1.1.1...1.1.2...1.1.2

...1.3.2...1.1.2...1.2.3...3.1.2...1.2.2...2.2.2...2.2.2...1.3.2...1.3.2

...1.3.3...3.3.4...1.2.3...3.4.2...3.4.5...3.3.3...3.3.4...3.3.2...3.3.2

...4.5.6...3.4.4...4.4.4...3.4.4...3.4.5...4.5.5...3.4.4...4.4.5...4.4.4

...4.5.6...5.5.5...5.6.6...5.5.5...3.4.5...4.4.5...5.6.6...4.5.5...5.5.5

...4.5.6...6.6.6...5.7.6...6.7.7...6.6.6...6.7.7...5.6.7...6.7.7...6.6.6

...7.8.8...7.8.8...5.7.7...6.6.7...7.7.8...6.7.8...5.7.7...6.8.7...7.8.8

...7.8.9...7.8.9...8.8.8...8.9.9...7.8.8...6.9.8...8.8.8...6.8.8...7.9.8

...7.9.9...7.9.9...9.9.9...8.8.9...9.9.9...9.9.8...9.9.9...9.9.9...7.9.9

CROSSREFS

Sequence in context: A275093 A275349 A215826 * A208564 A209097 A233015

Adjacent sequences:  A167243 A167244 A167245 * A167247 A167248 A167249

KEYWORD

nonn

AUTHOR

R. H. Hardin Oct 31 2009

STATUS

approved

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Last modified May 18 14:41 EDT 2022. Contains 353816 sequences. (Running on oeis4.)