A254804 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2700, 2700, 12680, 10484, 12680, 47816, 40167, 46026, 47816, 178752, 121701, 133628, 132639, 178752, 618856, 426308, 362924, 351264, 479464, 618856, 2201616, 1351487, 1133390, 1075560, 1200192, 1478353, 2201616, 7686444, 4771368, 3598070

Offset

1,1

Comments

Table starts

......512......2700.....12680.....47816.....178752.....618856....2201616

.....2700.....10484.....40167....121701.....426308....1351487....4771368

....12680.....46026....133628....362924....1133390....3598070...11836406

....47816....132639....351264...1075560....3330874...11202222...34896603

...178752....479464...1200192...3369689...11392932...36042356..105040512

...618856...1478353...3633517..11139423...34629826...96309005..253515215

..2201616...5237645..12325478..33038951...91512698..238103801..434785178

..7686444..17246499..38276893.101966575..255130532..525494884.1133168035

.27456624..60236570.128187410.299746659..687853766.1506994147.3388002996

.97621664.204026967.405105944.918337028.2020357475.4139903099.9547411698

Links

R. H. Hardin, Table of n, a(n) for n = 1..386

Formula

Empirical for column k:

k=1: [linear recurrence of order 18] for n>27

Empirical for row n:

n=1: [same linear recurrence of order 18] for n>27

Example

Some solutions for n=3 k=4
..0..0..0..1..0..0....0..0..0..1..0..0....0..0..0..1..0..0....0..0..0..1..0..1
..0..0..0..0..0..0....1..0..0..1..0..1....1..1..0..0..0..0....0..0..0..0..1..0
..0..1..0..1..0..0....1..1..0..1..0..0....1..0..0..0..0..0....1..1..0..1..1..0
..1..1..0..0..0..1....1..0..0..1..0..1....0..0..0..0..1..1....1..0..0..1..1..1
..1..1..1..1..1..0....1..0..0..0..0..0....1..1..0..1..1..1....0..1..0..1..1..0

Crossrefs

Column 1 and row 1 are A253813

Sequence in context: A254553 A254483 A254476 * A253820 A253813 A254512

Adjacent sequences: A254801 A254802 A254803 * A254805 A254806 A254807

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 08 2015

Status

approved