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.

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

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

R. H. Hardin, Table of n, a(n) for n = 1..60

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

Adjacent sequences: A265867 A265868 A265869 * A265871 A265872 A265873

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 17 2015

Status

approved