A258546 Number of (n+1)X(n+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference nondecreasing horizontally and nw+se diagonal sum nondecreasing vertically

16, 112, 598, 1891, 5070, 10854, 21653, 38451, 64507, 100830, 153641, 223684, 317754, 436768, 592439, 784607, 1024843, 1313644, 1669887, 2091844, 2597102, 3185410, 3884481, 4690355, 5627875, 6695714, 7932093, 9330156, 10923242

Offset

1,1

Comments

Diagonal of A258554

Links

R. H. Hardin, Table of n, a(n) for n = 1..69

Example

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

Crossrefs

Cf. A258554

Sequence in context: A144449 A035016 A000143 * A205964 A222113 A229531

Adjacent sequences: A258543 A258544 A258545 * A258547 A258548 A258549

Keyword

nonn

Author

R. H. Hardin, Jun 03 2015

Status

approved