A250927 - OEIS

%I #4 Nov 28 2014 18:14:01

%S 58,344,344,2007,4148,2007,11693,50722,50722,11693,68160,628146,

%T 1320397,628146,68160,397432,7811640,34521887,34521887,7811640,397432,

%U 2317569,97205912,899626256,1887760064,899626256,97205912,2317569,13514765

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element

%C Table starts

%C .......58.........344...........2007.............11693................68160

%C ......344........4148..........50722............628146..............7811640

%C .....2007.......50722........1320397..........34521887............899626256

%C ....11693......628146.......34521887........1887760064.........102912852059

%C ....68160.....7811640......899626256......102912852059.......11784958341212

%C ...397432....97205912....23390844328.....5613563039740.....1352300043218971

%C ..2317569..1209466635...607786907671...306543548743117...155249795843668280

%C .13514765.15047023115.15792648591051.16748448512897363.17818166218188667617

%H R. H. Hardin, <a href="/A250927/b250927.txt">Table of n, a(n) for n = 1..180</a>

%F Empirical for column k:

%F k=1: a(n) = 9*a(n-1) -23*a(n-2) +29*a(n-3) -16*a(n-4) +4*a(n-5)

%F k=2: [order 13]

%F k=3: [order 31]

%F k=4: [order 81]

%e Some solutions for n=2 k=4

%e ..0..1..0..1..1....0..2..2..2..1....0..2..0..1..2....1..0..2..0..2

%e ..0..1..0..0..0....0..0..0..0..0....0..2..0..0..2....0..0..1..0..2

%e ..0..2..2..2..0....0..1..1..1..2....0..1..1..0..1....0..0..0..0..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Nov 28 2014