A223066 T(n,k)=Number of nXk 0..3 arrays with every row having the same least squares slope fit to a straight line, and every column the same least squares slope fit to a straight line, with a single point array taken as having zero slope

4, 16, 16, 64, 44, 64, 256, 136, 136, 256, 1024, 452, 1632, 452, 1024, 4096, 1576, 6794, 6794, 1576, 4096, 16384, 5684, 131776, 19300, 131776, 5684, 16384, 65536, 21016, 713324, 480598, 480598, 713324, 21016, 65536, 262144, 79172, 16579616, 1776550

Offset

1,1

Comments

Table starts

.......4......16.........64.......256.........1024.......4096........16384

......16......44........136.......452.........1576.......5684........21016

......64.....136.......1632......6794.......131776.....713324.....16579616

.....256.....452.......6794.....19300.......480598....1776550.....60959690

....1024....1576.....131776....480598....108007936..624501712.236336828768

....4096....5684.....713324...1776550....624501712.2396299856

...16384...21016...16579616..60959690.236336828768

...65536...79172..101534218.244824466

..262144..302536.2587754048

.1048576.1168724

.4194304

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Example

Some solutions for n=3 k=4
..2..3..3..3....3..2..3..2....2..1..3..2....0..2..1..0....0..2..3..2
..1..2..2..2....3..2..0..3....1..1..0..2....2..0..2..1....0..2..0..3
..0..1..1..1....3..2..3..2....2..1..3..2....1..3..2..1....0..2..3..2

Crossrefs

Column 1 is A000302

Column 2 is A183634(n-1)

Sequence in context: A206838 A206900 A207290 * A339570 A223071 A232431

Adjacent sequences: A223063 A223064 A223065 * A223067 A223068 A223069

Keyword

nonn,tabl

Author

R. H. Hardin Mar 13 2013

Status

approved