A202162 Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

0, 0, 4, 44, 288, 1537, 7328, 32515, 137127, 557042, 2199406, 8493667, 32225692, 120526196, 445477330, 1630344366, 5917000834, 21321552087, 76358216811, 271995346780, 964328895552, 3404784217800, 11977326096426, 41996294148654

Offset

1,3

Comments

Column 2 of A202168

Links

R. H. Hardin, Table of n, a(n) for n = 1..81

Example

Some solutions for n=8
..0..0....0..0....0..0....0..1....0..0....0..0....0..0....0..1....0..0....0..0
..0..1....0..0....0..2....0..1....0..0....0..0....0..0....0..1....0..2....0..0
..0..1....0..0....1..1....2..3....1..1....0..0....0..1....1..1....1..1....0..2
..2..2....0..0....1..3....1..2....1..1....2..2....2..3....2..3....1..2....3..3
..1..1....1..2....1..3....2..2....2..2....1..1....1..1....2..3....1..2....1..2
..1..2....2..2....3..3....3..3....1..1....2..3....2..2....2..2....1..3....1..3
..2..3....2..3....2..2....2..2....2..3....1..1....2..3....3..3....3..3....2..2
..1..2....1..1....2..2....2..3....2..2....2..2....1..2....2..2....1..2....3..3

Crossrefs

Sequence in context: A270130 A074751 A129551 * A354646 A081078 A220920

Adjacent sequences: A202159 A202160 A202161 * A202163 A202164 A202165

Keyword

nonn

Author

R. H. Hardin Dec 13 2011

Status

approved