A253224 Number of (n+1) X (n+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.

16, 132, 494, 1498, 3936, 9630, 22656, 52110, 118182, 265458, 591924, 1311966, 2892738, 6348402, 13873152, 30199422, 65504766, 141618834, 305248332, 656098110

Offset

1,1

Comments

Diagonal of A253231.

Links

Table of n, a(n) for n=1..20.

Example

Some solutions for n=4
..0..1..1..1..0....1..1..1..0..1....0..1..1..0..0....0..1..1..1..1
..0..1..1..1..0....1..1..1..0..0....0..1..1..0..0....0..1..1..1..1
..0..1..1..1..0....1..1..1..0..0....1..1..1..0..0....0..1..1..1..1
..1..1..1..1..0....1..1..1..0..0....1..1..1..0..0....1..1..0..0..0
..0..0..0..1..1....1..0..0..0..0....1..0..0..0..1....0..0..0..0..0

Crossrefs

Cf. A253231.

Sequence in context: A055914 A255816 A335560 * A334979 A183535 A197278

Adjacent sequences: A253221 A253222 A253223 * A253225 A253226 A253227

Keyword

nonn

Author

R. H. Hardin, Dec 29 2014

Status

approved