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A267278 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0. 10
1, 1, 1, 1, 3, 2, 1, 10, 5, 6, 1, 35, 15, 5, 24, 1, 126, 109, 24, 4, 120, 1, 462, 574, 137, 24, 2, 720, 1, 1716, 2840, 1138, 293, 3, 4, 5040, 1, 6435, 13767, 12214, 2063, 317, 4, 2, 40320, 1, 24310, 71646, 104742, 18276, 6240, 40, 2, 4, 362880, 1, 92378, 390862, 741057 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,5
COMMENTS
Table starts
......1.1..1...1....1......1........1.........1.........1...........1
......1.3.10..35..126....462.....1716......6435.....24310.......92378
......2.5.15.109..574...2840....13767.....71646....390862.....2170370
......6.5.24.137.1138..12214...104742....741057...5022782....35540696
.....24.4.24.293.2063..18276...330969...5977624..79348962...830731810
....120.2..3.317.6240..69265...663855..12954512.466131976.13687472182
....720.4..4..40.8724.315356..4893787..55479601.912215513
...5040.2..2...8.2416.605606.33284502.787556232
..40320.4..4...8..136.275392.92367600
.362880.2..2...5....9..19113
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..1..2..3....0..2..1..0....0..2..1..3....0..3..0..3....0..2..1..3
..0..1..2..3....2..1..3..2....1..0..3..1....2..0..3..1....2..1..3..2
..0..1..2..3....0..3..1..0....3..2..1..0....0..2..1..3....0..3..1..0
..0..1..2..3....3..1..3..2....2..0..3..2....1..1..2..2....2..0..3..1
CROSSREFS
Column 1 is A000142(n-1).
Row 2 is A001700(n-1).
Row 3 is A266573.
Diagonal is A267018.
Sequence in context: A267425 A267562 A267742 * A267019 A100100 A248036
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 12 2016
STATUS
approved

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Last modified March 29 03:51 EDT 2024. Contains 371264 sequences. (Running on oeis4.)