A223071 T(n,k)=Number of nXk 0..3 arrays with successive rows and columns fitting to straight lines with nondecreasing slope, with a single point array taken as having zero slope

4, 16, 16, 64, 150, 64, 256, 1080, 1080, 256, 1024, 6627, 38512, 6627, 1024, 4096, 36552, 899390, 899390, 36552, 4096, 16384, 187000, 22520656, 59844888, 22520656, 187000, 16384, 65536, 905440, 462313688, 4842450790, 4842450790, 462313688

Offset

1,1

Comments

Table starts

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

.....16.....150.......1080.........6627.........36552.......187000

.....64....1080......38512.......899390......22520656....462313688

....256....6627.....899390.....59844888....4842450790.268351320214

...1024...36552...22520656...4842450790.1962060592992

...4096..187000..462313688.268351320214

..16384..905440.9567328752

..65536.4206453

.262144

Links

R. H. Hardin, Table of n, a(n) for n = 1..49

Example

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

Crossrefs

Column 1 is A000302

Sequence in context: A207290 A223066 A339570 * A232431 A267974 A267997

Adjacent sequences: A223068 A223069 A223070 * A223072 A223073 A223074

Keyword

nonn,tabl

Author

R. H. Hardin Mar 14 2013

Status

approved