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