A245851 T(n,k)=Number of length n 0..k arrays with new values introduced in order from both ends, and least squares fitting to a straight line with slope zero, with a single point taken as having zero slope

1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 4, 1, 1, 2, 2, 5, 4, 1, 1, 2, 2, 5, 5, 8, 1, 1, 2, 2, 5, 5, 14, 8, 1, 1, 2, 2, 5, 5, 15, 16, 20, 1, 1, 2, 2, 5, 5, 15, 17, 65, 18, 1, 1, 2, 2, 5, 5, 15, 17, 77, 77, 52, 1, 1, 2, 2, 5, 5, 15, 17, 78, 101, 356, 48, 1, 1, 2, 2, 5, 5, 15, 17, 78, 102, 551, 448, 152

Offset

1,6

Comments

Table starts

....1......1.......1.......1.......1.......1.......1.......1.......1.......1

....1......1.......1.......1.......1.......1.......1.......1.......1.......1

....2......2.......2.......2.......2.......2.......2.......2.......2.......2

....2......2.......2.......2.......2.......2.......2.......2.......2.......2

....4......5.......5.......5.......5.......5.......5.......5.......5.......5

....4......5.......5.......5.......5.......5.......5.......5.......5.......5

....8.....14......15......15......15......15......15......15......15......15

....8.....16......17......17......17......17......17......17......17......17

...20.....65......77......78......78......78......78......78......78......78

...18.....77.....101.....102.....102.....102.....102.....102.....102.....102

...52....356.....551.....568.....569.....569.....569.....569.....569.....569

...48....448.....861.....918.....919.....919.....919.....919.....919.....919

..152...2279....5433....6115....6142....6143....6143....6143....6143....6143

..138...2959....9055...11063...11170...11171...11171...11171...11171...11171

..472..15572...61725...84095...86043...86081...86082...86082...86082...86082

..428..20762..107467..167139..174957..175169..175170..175170..175170..175170

.1520.111641..758905.1377562.1495234.1500038.1500088.1500089.1500089.1500089

.1392.151205.1355573.2919818.3338570.3364000.3364342.3364343.3364343.3364343

Links

R. H. Hardin, Table of n, a(n) for n = 1..1121

Example

Some solutions for n=12 k=4
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..0....1....1....1....1....1....1....0....1....1....0....1....1....1....1....0
..1....1....0....0....2....1....2....1....0....2....1....2....0....2....0....1
..2....0....0....0....1....2....3....1....2....1....1....2....0....2....2....1
..0....2....1....1....1....2....1....2....3....3....2....3....0....1....2....1
..1....3....2....2....3....3....3....0....2....1....3....2....1....1....0....0
..0....2....0....1....2....0....0....1....3....2....2....3....2....2....0....0
..2....0....0....2....3....3....2....1....2....1....0....1....1....3....2....1
..1....0....1....0....0....2....3....1....1....2....2....3....1....2....2....1
..1....2....0....1....2....1....2....0....1....2....0....2....0....1....0....1
..0....1....1....0....1....1....1....1....1....1....1....1....0....1....1....0
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0

Crossrefs

Column 1 is A222955(n-2)

Sequence in context: A184720 A054526 A113453 * A230596 A307079 A330190

Adjacent sequences: A245848 A245849 A245850 * A245852 A245853 A245854

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 04 2014

Status

approved