A253741 Number of (n+1)X(n+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically.

81, 2723, 77414, 1143174, 10966149, 64166071, 333213583, 1343634212, 4751131685, 14311629354, 39554854483, 98216242368, 227147255700, 487878952466, 998933350773, 1939409904324, 3619796162567, 6491024508035, 11307537178352

Offset

1,1

Comments

Diagonal of A253749

Links

R. H. Hardin, Table of n, a(n) for n = 1..21

Example

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

Crossrefs

Sequence in context: A018223 A206660 A253525 * A253516 A038398 A205902

Adjacent sequences: A253738 A253739 A253740 * A253742 A253743 A253744

Keyword

nonn

Author

R. H. Hardin, Jan 11 2015

Status

approved