A205733 Number of (n+1)X6 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.

43155, 80916, 450339, 1302228, 10821462, 33070572, 272838012, 848995332, 7154699736, 22270343580, 186964905354, 582627814044, 4900745635686, 15269506255620, 128370016612560, 400006619221596, 3363513845901534

Offset

1,1

Comments

Column 5 of A205736.

Links

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

Formula

Empirical: a(n) = 46*a(n-2) -632*a(n-4) +2550*a(n-6) +21009*a(n-8) -338191*a(n-10) +2275083*a(n-12) -9977849*a(n-14) +32125123*a(n-16) -80295305*a(n-18) +160702817*a(n-20) -261977927*a(n-22) +350645053*a(n-24) -385924893*a(n-26) +348163021*a(n-28) -255626391*a(n-30) +151046918*a(n-32) -70664605*a(n-34) +25553415*a(n-36) -6884895*a(n-38) +1300906*a(n-40) -153820*a(n-42) +8568*a(n-44) for n>51.

Example

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

Crossrefs

Sequence in context: A237847 A236984 A008850 * A205914 A205906 A134450

Adjacent sequences: A205730 A205731 A205732 * A205734 A205735 A205736

Keyword

nonn

Author

R. H. Hardin, Jan 30 2012

Status

approved