A205191 Number of (n+1) X 7 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor.

216, 272, 384, 576, 896, 1408, 2048, 2944, 4224, 6144, 8960, 13184, 19328, 28416, 41600, 61056, 89344, 131072, 191872, 281472, 412160, 604544, 885376, 1298432, 1901824, 2788736, 4085120, 5989632, 8774784, 12864640, 18848000, 27631104

Offset

1,1

Comments

Column 6 of A205193.

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) -a(n-3) +a(n-4) -a(n-5) +a(n-6) for n>10.

Empirical g.f.: 8*x*(27 + 7*x - 13*x^2 + 17*x^3 - x^4 + 33*x^5 - x^6 - 10*x^7 - 8*x^8 - 8*x^9) / ((1 - x^2 + x^3)*(1 - x - x^3)). - Colin Barker, Jun 11 2018

Example

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

Crossrefs

Cf. A205193.

Sequence in context: A001239 A184088 A348609 * A204650 A115430 A278976

Adjacent sequences: A205188 A205189 A205190 * A205192 A205193 A205194

Keyword

nonn

Author

R. H. Hardin, Jan 23 2012

Status

approved