A231139 Number of (n+1) X (2+1) 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with upper left element zero.

100, 1470, 22870, 352444, 5441634, 83985430, 1296319964, 20008457170, 308827818618, 4766712219328, 73573516286674, 1135596590433446, 17527769351000652, 270538587942685474, 4175724025042070130

Offset

1,1

Comments

Column 2 of A231144.

Links

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

Formula

Empirical: a(n) = 14*a(n-1) +28*a(n-2) -83*a(n-3) -92*a(n-4) -342*a(n-5) +134*a(n-6) +890*a(n-7) +432*a(n-8) -32*a(n-9) +80*a(n-10) -320*a(n-11).

Example

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

Crossrefs

Cf. A231144.

Sequence in context: A167043 A274943 A203283 * A295589 A114777 A128988

Adjacent sequences: A231136 A231137 A231138 * A231140 A231141 A231142

Keyword

nonn

Author

R. H. Hardin, Nov 04 2013

Status

approved