

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


4



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
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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(n1)
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



