A222959 T(n,k)=Number of nXk 0..1 arrays with every row and column least squares fitting to a zero slope straight line, with a single point array taken as having zero slope

2, 2, 2, 4, 2, 4, 4, 4, 4, 4, 8, 4, 16, 4, 8, 8, 8, 16, 16, 8, 8, 20, 8, 64, 16, 64, 8, 20, 18, 20, 64, 64, 64, 64, 20, 18, 52, 18, 400, 64, 512, 64, 400, 18, 52, 48, 52, 324, 400, 512, 512, 400, 324, 52, 48, 152, 48, 2704, 324, 8000, 512, 8000, 324, 2704, 48, 152, 138, 152

Offset

1,1

Comments

Table starts

...2...2.....4.....4.......8.......8.........20........18...........52

...2...2.....4.....4.......8.......8.........20........18...........52

...4...4....16....16......64......64........400.......324.........2704

...4...4....16....16......64......64........400.......324.........2704

...8...8....64....64.....512.....512.......8000......5832.......140608

...8...8....64....64.....512.....512.......8000......5832.......140608

..20..20...400...400....8000....8000.....323600....215892.....14843920

..18..18...324...324....5832....5832.....215892....144930......9546228

..52..52..2704..2704..140608..140608...14843920...9546228...1808243216

..48..48..2304..2304..110592..110592....9734400...6503472...1052045568

.152.152.23104.23104.3511808.3511808.1138729280.685380312.407454282560

.138.138.19044.19044.2628072.2628072..631004724.419107674

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Example

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

Crossrefs

Column 2 is A222955, column 4 is A222956, column 6 is A222957

Sequence in context: A063375 A064129 A005137 * A309441 A220498 A330772

Adjacent sequences: A222956 A222957 A222958 * A222960 A222961 A222962

Keyword

nonn,tabl

Author

R. H. Hardin Mar 10 2013

Status

approved