A254092 - OEIS

%I #4 Jan 25 2015 10:35:07

%S 512,3436,3436,22728,37961,22728,148004,437412,438463,148004,977192,

%T 5131608,9231485,5146916,977192,6446656,60404379,194360930,194642351,

%U 60605766,6446656,42580424,708989540,4070778350,7181975282,4074710828

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

%C Table starts

%C .......512........3436..........22728............148004..............977192

%C ......3436.......37961.........437412...........5131608............60404379

%C .....22728......438463........9231485.........194360930..........4070778350

%C ....148004.....5146916......194642351........7181975282........264423470022

%C ....977192....60605766.....4074710828......264184393944......17184949015860

%C ...6446656...710699434....85580284203.....9764722253800....1124256442364024

%C ..42580424..8345076092..1797518333568...360366996893272...73410212260111376

%C .281186200.97946001730.37753559435660.13302280322759188.4793743396389995848

%H R. H. Hardin, <a href="/A254092/b254092.txt">Table of n, a(n) for n = 1..286</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 10] for n>17

%F k=2: [order 37] for n>42

%F k=3: [order 96] for n>99

%F Empirical for row n:

%F n=1: [same linear recurrence of order 10] for n>17

%F n=2: [same order 37] for n>41

%F n=3: [order 64] for n>70

%e Some solutions for n=2 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 25 2015