A254512 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of four medians of central row, central column, diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally.

512, 2703, 2703, 12730, 12324, 12730, 55904, 55667, 68832, 55904, 221858, 238740, 373348, 356061, 221858, 833037, 1038340, 2038857, 2290520, 1731335, 833037, 2977462, 4546393, 11441442, 14550580, 13015622, 8282251, 2977462, 10225464

Offset

1,1

Comments

Table starts

.......512.......2703.......12730.........55904.........221858..........833037

......2703......12324.......55667........238740........1038340.........4546393

.....12730......68832......373348.......2038857.......11441442........63472542

.....55904.....356061.....2290520......14550580.......98841764.......655621406

....221858....1731335....13015622......95905212......801430034......6552192968

....833037....8282251....74724261.....648678493.....6835294784.....70328373238

...2977462...38770022...412719610....4179100619....55061190276....695661729709

..10225464..178707667..2257549280...26796334134...443132699990...6965925190578

..34028886..815255701.12214911424..169905026025..3548806179198..69484564820433

.110280168.3683796336.65273197441.1061834396584.28004471288892.681105863135117

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical for column k:

k=1: [linear recurrence of order 58] for n>59

Empirical for row n:

n=1: [same linear recurrence of order 58] for n>59

Example

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

Crossrefs

Sequence in context: A254804 A253820 A253813 * A254819 A254505 A253993

Adjacent sequences: A254509 A254510 A254511 * A254513 A254514 A254515

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 31 2015

Status

approved