A205363 Number of (n+1)X2 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock the same

256, 1976, 15616, 124048, 986388, 7854572, 62623348, 499915248, 3995675256, 31974871096, 256177589404, 2054827670052, 16500568550588, 132647236063288, 1067478673720944, 8599383059167200, 69343765363020324, 559711476205611868

Offset

1,1

Comments

Column 1 of A205370

Links

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

Formula

Empirical: a(n) = 16*a(n-1) -63*a(n-2) -27*a(n-3) +182*a(n-4) -217*a(n-5) +114*a(n-6) -4*a(n-7) -4*a(n-8) +4*a(n-9) for n>10

Example

Some solutions for n=4
..1..3....3..3....0..2....0..2....0..2....0..3....3..3....1..0....0..3....3..0
..2..3....0..0....0..3....2..1....0..1....0..0....0..1....2..3....2..2....1..2
..2..2....2..2....1..0....1..0....0..0....1..1....0..0....2..2....1..2....0..0
..1..2....3..2....2..1....2..1....0..1....1..3....1..1....1..1....1..1....2..1
..1..2....0..1....3..2....3..2....0..0....3..3....1..3....3..3....3..3....3..2

Crossrefs

Sequence in context: A206188 A205370 A205659 * A237340 A237333 A221487

Adjacent sequences: A205360 A205361 A205362 * A205364 A205365 A205366

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved