A204603 Number of (n+2)X6 0..2 arrays with every 3X3 subblock having three strictly increasing elements in a row horizontally, vertically or nw-to-se diagonally exactly one way

2275645, 4820300, 5260434, 10978524, 69792825, 774393122, 4518555426, 32448416953, 349259705982, 2010484777666, 14354494409473, 154409289786362, 888816408342414, 6346077122217149, 68263874184421262, 392943303332786626

Offset

1,1

Comments

Column 4 of A204607

Links

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

Formula

Empirical: a(n) = 442*a(n-3) +43*a(n-6) for n>15

Example

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

Crossrefs

Sequence in context: A180940 A089445 A089446 * A176382 A347937 A339937

Adjacent sequences: A204600 A204601 A204602 * A204604 A204605 A204606

Keyword

nonn

Author

R. H. Hardin Jan 17 2012

Status

approved