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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.
8
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Aug 09 2012
STATUS
approved