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A222896 T(n,k)=Number of nXk 0..2 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope 2

%I #4 Mar 08 2013 19:20:13

%S 3,0,0,0,31,0,0,51,51,0,0,40,621,40,0,0,12,2542,2542,12,0,0,0,2646,

%T 230803,2646,0,0,0,0,0,3219925,3219925,0,0,0,0,0,0,44680819,129912903,

%U 44680819,0,0,0,0,0,0,341380271,6314798902,6314798902,341380271,0,0,0,0

%N T(n,k)=Number of nXk 0..2 arrays with successive rows and columns fitting to straight lines with strictly increasing slope, with a single point array taken as having zero slope

%C Table starts

%C .3..0....0.........0..........0..........0............0..........0.0.0.0

%C .0.31...51........40.........12..........0............0..........0.0.0

%C .0.51..621......2542.......2646..........0............0..........0.0

%C .0.40.2542....230803....3219925...44680819....341380271.2205404653

%C .0.12.2646...3219925..129912903.6314798902.116002906380

%C .0..0....0..44680819.6314798902

%C .0..0....0.341380271

%C .0..0....0

%C .0..0

%C .0

%H R. H. Hardin, <a href="/A222896/b222896.txt">Table of n, a(n) for n = 1..60</a>

%e Some solutions for n=4 k=4

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

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Mar 08 2013

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Last modified May 9 00:38 EDT 2024. Contains 372341 sequences. (Running on oeis4.)