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A205732
Number of (n+1)X5 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
8655, 17532, 80088, 223560, 1421976, 4116576, 25898472, 76594212, 491999118, 1452775596, 9287994096, 27469736568, 175992497334, 520294935264, 3331132695774, 9849664194432, 63077440686552, 186500014153044
OFFSET
1,1
COMMENTS
Column 4 of A205736.
LINKS
FORMULA
Empirical: a(n) = 25*a(n-2) -97*a(n-4) -599*a(n-6) +5944*a(n-8) -21030*a(n-10) +40354*a(n-12) -42520*a(n-14) +13229*a(n-16) +28855*a(n-18) -48755*a(n-20) +36487*a(n-22) -13284*a(n-24) -138*a(n-26) +2402*a(n-28) -1064*a(n-30) +208*a(n-32) -16*a(n-34) for n>38.
EXAMPLE
Some solutions for n=4:
..1..2..2..1..1....2..2..1..2..2....2..1..1..2..1....1..1..1..0..0
..1..2..0..0..1....0..2..1..2..0....1..0..2..1..2....2..1..2..2..0
..2..0..2..1..0....2..1..2..0..1....1..1..1..1..1....0..2..1..0..2
..0..0..0..0..0....2..1..2..0..1....1..1..1..1..1....2..2..2..2..2
..0..0..0..0..0....0..2..0..1..2....2..1..2..2..0....2..2..2..2..2
CROSSREFS
Sequence in context: A361796 A031591 A031771 * A205913 A205905 A205763
KEYWORD
nonn
AUTHOR
R. H. Hardin, Jan 30 2012
STATUS
approved