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

Author

R. H. Hardin, Aug 04 2014

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A222955(n-2)