A207792 Number of (n+1) X 2 0..3 arrays with every 2 X 3 or 3 X 2 subblock having an unequal number of clockwise and counterclockwise edge increases.

256, 2208, 20800, 184416, 1714176, 15376544, 141647296, 1279043040, 11724000896, 106260735008, 971279945280, 8821770053472, 80508174426368, 732094567369632, 6675191873895104, 60741010476989664, 553553902058209152

Offset

1,1

Comments

Column 1 of A207799.

Links

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

Formula

Empirical: a(n) = a(n-1) + 61*a(n-2) + 83*a(n-3) + 272*a(n-4) + 336*a(n-5).

Empirical g.f.: 32*x*(8 + 61*x + 93*x^2 + 240*x^3 + 252*x^4) / (1 - x - 61*x^2 - 83*x^3 - 272*x^4 - 336*x^5). - Colin Barker, Jun 25 2018

Example

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

Crossrefs

Cf. A207799.

Sequence in context: A206063 A206056 A207799 * A236500 A236495 A236118

Adjacent sequences: A207789 A207790 A207791 * A207793 A207794 A207795

Keyword

nonn

Author

R. H. Hardin, Feb 20 2012

Status

approved