A254512 - OEIS

%I #4 Jan 31 2015 12:57:43

%S 512,2703,2703,12730,12324,12730,55904,55667,68832,55904,221858,

%T 238740,373348,356061,221858,833037,1038340,2038857,2290520,1731335,

%U 833037,2977462,4546393,11441442,14550580,13015622,8282251,2977462,10225464

%N 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

%C Table starts

%C .......512.......2703.......12730.........55904.........221858..........833037

%C ......2703......12324.......55667........238740........1038340.........4546393

%C .....12730......68832......373348.......2038857.......11441442........63472542

%C .....55904.....356061.....2290520......14550580.......98841764.......655621406

%C ....221858....1731335....13015622......95905212......801430034......6552192968

%C ....833037....8282251....74724261.....648678493.....6835294784.....70328373238

%C ...2977462...38770022...412719610....4179100619....55061190276....695661729709

%C ..10225464..178707667..2257549280...26796334134...443132699990...6965925190578

%C ..34028886..815255701.12214911424..169905026025..3548806179198..69484564820433

%C .110280168.3683796336.65273197441.1061834396584.28004471288892.681105863135117

%H R. H. Hardin, <a href="/A254512/b254512.txt">Table of n, a(n) for n = 1..199</a>

%F Empirical for column k:

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

%F Empirical for row n:

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

%e Some solutions for n=2 k=4

%e ..0..1..1..1..0..1....0..0..0..0..1..1....0..1..0..0..0..0....0..0..0..0..1..1

%e ..0..0..0..0..0..0....1..0..0..0..0..1....1..0..0..0..0..0....0..0..0..0..0..0

%e ..1..0..1..0..1..1....1..0..1..1..1..0....1..0..0..0..0..1....0..0..0..1..1..0

%e ..0..0..1..0..0..0....1..1..0..1..1..0....0..0..0..0..1..1....0..0..1..1..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 31 2015