A254483 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal minimum nondecreasing horizontally and vertically

512, 2696, 2696, 12260, 11293, 12260, 47140, 50454, 50454, 47140, 170504, 170900, 211579, 170900, 170504, 586508, 603895, 686988, 686988, 603895, 586508, 1964388, 1990286, 2289173, 2539310, 2289173, 1990286, 1964388, 6462708, 6557179, 7113819

Offset

1,1

Comments

Table starts

......512......2696.....12260......47140.....170504.....586508.....1964388

.....2696.....11293.....50454.....170900.....603895....1990286.....6557179

....12260.....50454....211579.....686988....2289173....7113819....22624962

....47140....170900....686988....2539310....8704471...28312934....86663046

...170504....603895...2289173....8704471...24234594...71273789...191995191

...586508...1990286...7113819...28312934...71273789..205535751...540249256

..1964388...6557179..22624962...86663046..191995191..540249256..1553637600

..6462708..20990158..68677228..247709745..525287732.1390563554..4193549493

.21003228..66511881.207208428..682297737.1379347935.3531296333.11469180519

.67662328.206889218.608944631.1838103410.3717747517.9326702364.30648695723

Links

R. H. Hardin, Table of n, a(n) for n = 1..287

Formula

Empirical for column k:

k=1: [linear recurrence of order 27] for n>32

k=2: [order 54] for n>62

Example

Some solutions for n=2 k=4
..0..0..0..1..1..1....0..0..0..0..1..1....0..0..0..1..1..0....0..0..0..0..0..1
..0..0..1..0..0..0....1..0..1..0..1..0....0..0..1..1..0..0....0..0..0..1..1..1
..0..0..1..0..1..1....1..0..1..0..1..1....0..1..0..1..1..1....0..0..0..1..0..1
..0..1..1..0..1..1....0..0..1..1..1..1....0..1..0..1..0..0....1..0..0..1..1..1

Crossrefs

Sequence in context: A224643 A186832 A254553 * A254476 A254804 A253820

Adjacent sequences: A254480 A254481 A254482 * A254484 A254485 A254486

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2015

Status

approved