A205215 - OEIS

%I #5 Mar 31 2012 12:37:05

%S 81,452,452,1970,3248,1970,8128,23578,23578,8128,33386,203313,357812,

%T 203313,33386,139390,1846145,5500266,5500266,1846145,139390,588254,

%U 17014174,82656765,155765726,82656765,17014174,588254,2496440,157776973

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the determinants of 2X2 subblocks nondecreasing rightwards and downwards

%C Table starts

%C ......81........452.........1970............8128.............33386

%C .....452.......3248........23578..........203313...........1846145

%C ....1970......23578.......357812.........5500266..........82656765

%C ....8128.....203313......5500266.......155765726........4357148705

%C ...33386....1846145.....82656765......4357148705......209120030041

%C ..139390...17014174...1236875696....126335408689....10699762239543

%C ..588254..157776973..18436719991...3665236234914...529074884034056

%C .2496440.1467364433.274894006610.107599177704443.26696996142924073

%H R. H. Hardin, <a href="/A205215/b205215.txt">Table of n, a(n) for n = 1..199</a>

%e Some solutions for n=4 k=3

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

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Jan 23 2012