A215401 T(n,k) = number of length-n 0..k arrays connected end-around, with no sequence of L<n elements immediately followed by itself (periodic "squarefree"), and new values introduced in order 0..k.

1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 3, 0, 0, 1, 1, 1, 3, 5, 3, 0, 1, 1, 1, 3, 6, 17, 0, 0, 1, 1, 1, 3, 6, 26, 35, 4, 0, 1, 1, 1, 3, 6, 27, 84, 102, 0, 0, 1, 1, 1, 3, 6, 27, 98, 324, 240, 0, 0, 1, 1, 1, 3, 6, 27, 99, 442, 1170, 665, 11, 0, 1, 1, 1, 3, 6, 27, 99, 462, 1968, 4412, 1661

Offset

1,14

Comments

Table starts

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

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

.0..1....1.....1......1......1......1......1......1......1......1......1......1

.0..2....3.....3......3......3......3......3......3......3......3......3......3

.0..0....5.....6......6......6......6......6......6......6......6......6......6

.0..3...17....26.....27.....27.....27.....27.....27.....27.....27.....27.....27

.0..0...35....84.....98.....99.....99.....99.....99.....99.....99.....99.....99

.0..4..102...324....442....462....463....463....463....463....463....463....463

.0..0..240..1170...1968...2205...2232...2233...2233...2233...2233...2233...2233

.0..0..665..4412...9214..11414..11839..11874..11875..11875..11875..11875..11875

.0.11.1661.16313..43263..61028..66176..66880..66924..66925..66925..66925..66925

.0.12.4501.61138.205749.337089.390465.401210.402309.402363.402364.402364.402364

Links

R. H. Hardin, Table of n, a(n) for n = 1..294

Example

Some solutions for n=6, k=4:
..0....0....0....0....0....0....0....0....0....0....0....0....0....0....0....0
..1....1....1....1....1....1....1....1....1....1....1....1....1....1....1....1
..2....0....2....2....2....2....2....0....2....2....2....2....2....2....0....2
..1....2....0....0....3....3....3....2....3....1....3....0....1....1....2....3
..0....3....1....3....4....2....0....3....0....0....1....3....3....3....1....2
..2....4....3....1....2....1....4....2....2....3....3....4....1....2....2....4

Crossrefs

Sequence in context: A144092 A333467 A120648 * A254606 A175358 A235330

Adjacent sequences: A215398 A215399 A215400 * A215402 A215403 A215404

Keyword

nonn,tabl

Author

R. H. Hardin, Aug 09 2012

Status

approved