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A265870 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any antidiagonal neighbor equal to n-1. 7
1, 1, 2, 1, 2, 6, 1, 4, 42, 24, 1, 6, 340, 984, 120, 1, 12, 3136, 56496, 48216, 720, 1, 20, 30456, 3965392, 28645840, 2869200, 5040, 1, 40, 307464, 307543008, 21193260208, 20091622560, 278125200, 40320, 1, 70, 3182784, 25346247472, 17674408924672 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Table starts
......1.............1.................1...................1...................1
......2.............2.................4...................6..................12
......6............42...............340................3136...............30456
.....24...........984.............56496.............3965392...........307543008
....120.........48216..........28645840.........21193260208......17674408924672
....720.......2869200.......20091622560.....187225073253120.2036853990307247808
...5040.....278125200....29056095714720.4173639524545757568
..40320...31015797120.52981034285587200
.362880.4991834736000
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..2..0..0....0..0..1..2....1..2..0..0....1..2..2..1....0..2..0..0
..1..1..1..1....1..2..1..0....2..1..1..2....1..1..2..0....1..1..1..1
..2..2..2..0....1..2..0..2....0..2..1..0....0..2..0..0....2..2..0..2
CROSSREFS
Column 1 is A000142.
Row 2 is A063886.
Sequence in context: A338870 A265894 A133644 * A341409 A284466 A258615
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 17 2015
STATUS
approved

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Last modified May 22 20:45 EDT 2024. Contains 372758 sequences. (Running on oeis4.)