A205189 Number of (n+1) X 5 0..1 arrays with the number of clockwise edge increases in every 2 X 2 subblock differing from each horizontal or vertical neighbor.

72, 104, 160, 256, 384, 576, 864, 1312, 1984, 3008, 4544, 6880, 10400, 15744, 23808, 36032, 54496, 82464, 124736, 188736, 285504, 431968, 653472, 988672, 1495680, 2262848, 3423328, 5179168, 7835328, 11854016, 17933504, 27131360, 41046176

Offset

1,1

Comments

Column 4 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) for n>6.

Empirical g.f.: 8*x*(9 + 4*x - 2*x^2 + 8*x^3 - x^5) / (1 - x - x^2 + x^3 - x^4). - Colin Barker, Jun 11 2018

Example

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

Crossrefs

Cf. A205193.

Sequence in context: A099943 A118218 A242186 * A258695 A102562 A357460

Adjacent sequences: A205186 A205187 A205188 * A205190 A205191 A205192

Keyword

nonn

Author

R. H. Hardin, Jan 23 2012

Status

approved