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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified May 25 13:00 EDT 2022. Contains 354071 sequences. (Running on oeis4.)