A201190 Number of nX3 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

0, 1, 8, 45, 225, 1005, 4104, 15592, 55914, 191522, 632129, 2024359, 6323087, 19343102, 58140702, 172156273, 503228165, 1454641954, 4164043593, 11818459242, 33291210601, 93152197045, 259101275859, 716858442400, 1973889033615

Offset

1,3

Comments

Column 3 of A201195

Links

R. H. Hardin, Table of n, a(n) for n = 1..100

Example

Some solutions for n=8
..0..0..0....0..0..1....0..0..0....0..0..1....0..0..0....0..0..0....0..0..0
..0..0..0....0..0..2....0..0..1....0..0..1....0..0..0....0..0..0....0..0..2
..1..1..2....0..0..2....0..0..1....0..1..1....0..0..2....1..1..1....2..2..2
..2..2..2....0..2..2....0..2..2....0..2..1....0..2..1....1..2..2....1..1..2
..1..1..1....1..1..2....0..1..2....0..1..1....2..2..2....1..2..2....1..1..2
..1..1..2....2..2..2....2..2..2....2..2..2....1..1..2....1..1..1....1..2..2
..1..1..2....1..1..2....1..1..2....1..1..2....1..2..2....2..2..2....1..2..2
..1..2..2....1..1..2....1..2..2....2..2..2....1..1..2....1..2..2....1..2..2

Crossrefs

Sequence in context: A026852 A317405 A110609 * A297089 A032208 A163003

Adjacent sequences: A201187 A201188 A201189 * A201191 A201192 A201193

Keyword

nonn

Author

R. H. Hardin Nov 28 2011

Status

approved