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 A167238 Number of ways to partition a 2*n X 2 grid into 4 connected equal-area regions 0
 1, 5, 11, 25, 45, 77, 119, 177, 249, 341, 451, 585, 741, 925, 1135, 1377, 1649, 1957, 2299, 2681, 3101, 3565, 4071, 4625, 5225, 5877, 6579, 7337, 8149, 9021, 9951, 10945, 12001, 13125, 14315, 15577 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 LINKS Table of n, a(n) for n=1..36. FORMULA Empirical: a(n)=3*a(n-1)-2*a(n-2)-2*a(n-3)+3*a(n-4)-a(n-5) EXAMPLE All solutions for n=3 ...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.1...1.2...1.2...1.2 ...1.2...1.2...1.2...1.2...2.1...2.1...2.1...2.1...1.2...1.2...1.2 ...2.2...2.2...2.2...3.2...2.2...2.2...2.2...2.3...1.2...1.2...1.2 ...3.3...3.3...3.4...3.2...3.3...3.3...3.4...2.3...3.3...3.3...3.4 ...3.4...4.3...3.4...3.4...3.4...4.3...3.4...4.3...3.4...4.3...3.4 ...4.4...4.4...3.4...4.4...4.4...4.4...3.4...4.4...4.4...4.4...3.4 CROSSREFS Sequence in context: A266905 A059358 A296911 * A084640 A337481 A056739 Adjacent sequences: A167235 A167236 A167237 * A167239 A167240 A167241 KEYWORD nonn AUTHOR R. H. Hardin Oct 31 2009 STATUS approved

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Last modified November 28 15:31 EST 2023. Contains 367419 sequences. (Running on oeis4.)