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A221459 T(n,k)=Number of 0..k arrays of length n with each element unequal to at least one neighbor, with new values introduced in 0..k order 7
0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 6, 3, 0, 1, 2, 7, 16, 5, 0, 1, 2, 7, 24, 44, 8, 0, 1, 2, 7, 25, 88, 120, 13, 0, 1, 2, 7, 25, 101, 328, 328, 21, 0, 1, 2, 7, 25, 102, 436, 1235, 896, 34, 0, 1, 2, 7, 25, 102, 455, 1971, 4668, 2448, 55, 0, 1, 2, 7, 25, 102, 456, 2192, 9159, 17675 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,9
COMMENTS
Table starts
..0.....0......0......0.......0.......0.......0.......0.......0.......0.......0
..1.....1......1......1.......1.......1.......1.......1.......1.......1.......1
..1.....2......2......2.......2.......2.......2.......2.......2.......2.......2
..2.....6......7......7.......7.......7.......7.......7.......7.......7.......7
..3....16.....24.....25......25......25......25......25......25......25......25
..5....44.....88....101.....102.....102.....102.....102.....102.....102.....102
..8...120....328....436.....455.....456.....456.....456.....456.....456.....456
.13...328...1235...1971....2192....2218....2219....2219....2219....2219....2219
.21...896...4668...9159...11203...11605...11639...11640...11640...11640...11640
.34..2448..17675..43262...59814...64647...65320...65363...65364...65364...65364
.55..6688..66974.206285..329343..379349..389533..390592..390645..390646..390646
.89.18272.253858.988963.1851911.2320555.2451393.2471066.2472654.2472718.2472719
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....2....2....2....1....0....0....2....2....2....1....1....2....2....2....1
..3....3....1....2....2....2....2....3....2....1....2....2....2....0....1....0
..4....3....0....1....2....0....3....1....3....3....0....3....0....2....2....1
..1....4....3....3....3....3....2....0....1....0....1....2....3....1....1....0
CROSSREFS
Column 1 is A000045(n-1)
Column 2 is A002605(n-1)
Sequence in context: A163000 A303548 A105524 * A166387 A000209 A359901
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Jan 17 2013
STATUS
approved

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Last modified July 15 12:56 EDT 2024. Contains 374332 sequences. (Running on oeis4.)