A205583 Number of (n+1) X 2 0..2 arrays with no 2 X 2 subblock having the same number of equal edges as its horizontal or vertical neighbors, and new values 0..2 introduced in row major order.

14, 74, 413, 2268, 12574, 69338, 383440, 2117054, 11699556, 64620690, 357034452, 1972284262, 10896200940, 60194058786, 332543162084, 1837101323030, 10149009487404, 56067475332178, 309742091323076, 1711151039052838

Offset

1,1

Comments

Column 1 of A205590.

Links

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

Formula

Empirical: a(n) = 21*a(n-2) + 44*a(n-3) + 50*a(n-4) + 12*a(n-5) - 144*a(n-6) for n>7.

Empirical g.f.: x*(14 + 74*x + 119*x^2 + 98*x^3 - 55*x^4 - 330*x^5 + 72*x^6) / (1 - 21*x^2 - 44*x^3 - 50*x^4 - 12*x^5 + 144*x^6). - Colin Barker, Mar 04 2018

Example

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

Crossrefs

Cf. A205590.

Sequence in context: A213284 A232377 A146563 * A167633 A196411 A108650

Adjacent sequences: A205580 A205581 A205582 * A205584 A205585 A205586

Keyword

nonn

Author

R. H. Hardin, Jan 29 2012

Status

approved