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.

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

R. H. Hardin, Table of n, a(n) for n = 1..210

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

Adjacent sequences: A205729 A205730 A205731 * A205733 A205734 A205735

Keyword

nonn

Author

R. H. Hardin, Jan 30 2012

Status

approved