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A186464
Number of (n+1) X 2 0..2 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.
2
81, 83, 277, 367, 966, 1321, 3078, 4553, 10028, 15650, 32786, 53166, 107524, 179614, 353932, 604474, 1168188, 2028530, 3863852, 6793514, 12800564, 22716978, 42458812, 75878698, 140963524, 253237282, 468324588, 844629530, 1556731220
OFFSET
1,1
COMMENTS
Column 1 of A186472.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) + a(n-2) - 4*a(n-3) + 4*a(n-4) - 2*a(n-5) for n>10.
Empirical g.f.: x*(81 - 79*x + 30*x^2 + 54*x^3 - 37*x^4 - 40*x^5 - 4*x^6 + 26*x^7 - 2*x^8 + x^9) / ((1 - x)*(1 - x - 2*x^2 + 2*x^3 - 2*x^4)). - Colin Barker, Feb 28 2018
EXAMPLE
Some solutions for 3 X 2:
..1..1....1..0....1..0....0..1....1..2....0..0....2..2....1..2....0..0....2..0
..0..0....1..0....0..0....2..0....0..0....1..0....2..0....1..0....1..0....0..2
..0..0....0..1....0..2....0..2....0..0....2..1....0..2....0..1....1..1....1..1
CROSSREFS
Cf. A186472.
Sequence in context: A186472 A183984 A089784 * A345477 A295700 A286898
KEYWORD
nonn
AUTHOR
R. H. Hardin, Feb 22 2011
STATUS
approved