A223022 T(n,k)=Number of nXk 0..2 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

3, 9, 9, 27, 19, 27, 81, 45, 45, 81, 243, 115, 309, 115, 243, 729, 309, 739, 739, 309, 729, 2187, 859, 8355, 1365, 8355, 859, 2187, 6561, 2445, 25953, 13997, 13997, 25953, 2445, 6561, 19683, 7075, 347991, 35571, 878487, 35571, 347991, 7075, 19683, 59049, 20709

Offset

1,1

Comments

Table starts

......3......9.......27.......81.......243.......729......2187......6561

......9.....19.......45......115.......309.......859......2445......7075

.....27.....45......309......739......8355.....25953....347991...1229117

.....81....115......739.....1365.....13997.....35571....468409...1445055

....243....309.....8355....13997....878487...2091169.212538795.603347801

....729....859....25953....35571...2091169...3659139.405114337

...2187...2445...347991...468409.212538795.405114337

...6561...7075..1229117..1445055.603347801

..19683..20709.18018549.21226859

..59049..61099.67909529

.177147.181245

.531441

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

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

Crossrefs

Column 1 is A000244

Column 2 is A183624(n-1)

Sequence in context: A207317 A206700 A162349 * A072404 A222996 A268026

Adjacent sequences: A223019 A223020 A223021 * A223023 A223024 A223025

Keyword

nonn,tabl

Author

R. H. Hardin Mar 11 2013

Status

approved