A223048 - OEIS

%I #4 Mar 12 2013 18:50:16

%S 3,6,6,18,20,18,45,120,120,45,141,536,2160,536,141,386,3378,24120,

%T 24120,3378,386,1191,17362,476298,570915,476298,17362,1191,3402,

%U 108534,6701732,28942155,28942155,6701732,108534,3402,10446,597935,129263994,932439860

%N T(n,k)=Number of nXk 0..2 arrays with every row and column least squares fitting to a nonnegative slope straight line, with a single point array taken as having zero slope

%C Table starts

%C .....3.......6.........18..........45..........141..........386...........1191

%C .....6......20........120.........536.........3378........17362.........108534

%C ....18.....120.......2160.......24120.......476298......6701732......129263994

%C ....45.....536......24120......570915.....28942155....932439860....46018580355

%C ...141....3378.....476298....28942155...4832534313.441127163210.70296226768557

%C ...386...17362....6701732...932439860.441127163210

%C ..1191..108534..129263994.46018580355

%C ..3402..597935.2034174870

%C .10446.3721248

%C .30294

%H R. H. Hardin, <a href="/A223048/b223048.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 12 2013