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A205730
Number of (n+1) X 3 0..2 arrays with every 2 X 2 subblock having the same number of clockwise edge increases as its horizontal neighbors and no 2 X 2 subblock having the same number of counterclockwise edge increases as its vertical neighbors.
1
369, 978, 3318, 9198, 34674, 97380, 370008, 1053624, 4060848, 11593452, 44691564, 127862298, 493245942, 1412611194, 5445496374, 15610049862, 60135842922, 172528522548, 664117714260, 1906895501304, 7334482622244, 21076547401356
OFFSET
1,1
COMMENTS
Column 2 of A205736.
LINKS
FORMULA
Empirical: a(n) = a(n-1) +11*a(n-2) -9*a(n-3) +8*a(n-4) -26*a(n-5) -99*a(n-6) +51*a(n-7) +135*a(n-8) +25*a(n-9) -54*a(n-10) -42*a(n-11) for n>14.
EXAMPLE
Some solutions for n=4:
..1..0..0....2..1..0....2..1..0....0..0..2....0..0..0....1..2..2....2..0..1
..0..2..1....2..1..2....2..1..0....1..1..1....1..1..1....0..1..0....2..1..2
..0..2..0....0..1..2....0..1..2....1..1..1....1..1..1....0..1..2....1..0..2
..2..1..0....2..2..1....2..1..0....0..0..0....1..2..1....1..0..0....1..1..1
..1..1..2....0..1..1....0..1..2....0..0..0....0..1..0....1..1..2....2..0..0
CROSSREFS
Sequence in context: A294711 A062041 A373764 * A251132 A183351 A275170
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 30 2012
STATUS
approved