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A266867 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west or northeast neighbor modulo n and the upper left element equal to 0. 6
1, 1, 1, 1, 0, 2, 1, 0, 4, 6, 1, 0, 17, 72, 24, 1, 0, 57, 1304, 2760, 120, 1, 0, 207, 31501, 530368, 154240, 720, 1, 0, 786, 843874, 132028418, 358960340, 12199500, 5040, 1, 0, 3057, 24244702, 37478933496, 1141696526832, 415907473523, 1293877704, 40320, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,6
COMMENTS
Table starts
...1........1............1.................1................1..............1
...1........0............0.................0................0..............0
...2........4...........17................57..............207............786
...6.......72.........1304.............31501...........843874.......24244702
..24.....2760.......530368.........132028418......37478933496.11567328302147
.120...154240....358960340.....1141696526832.4269042158821685
.720.12199500.415907473523.20266647672702159
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..3..2..1....0..3..3..1....0..0..0..3....0..3..3..3....0..3..2..1
..2..1..3..2....1..1..0..2....2..2..1..1....2..1..1..1....2..2..0..3
..0..2..0..3....3..3..2..2....1..3..1..0....1..0..0..2....0..0..2..1
..1..3..1..0....2..1..0..0....3..3..2..2....2..2..0..3....3..1..1..3
CROSSREFS
Column 1 is A000142(n-1).
Sequence in context: A361954 A342500 A247268 * A151852 A300864 A300184
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 04 2016
STATUS
approved

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Last modified March 29 07:27 EDT 2024. Contains 371265 sequences. (Running on oeis4.)