A266655 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its northeast neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 1, 2, 1, 2, 11, 6, 1, 3, 91, 234, 24, 1, 6, 829, 14540, 8466, 120, 1, 10, 8013, 1044230, 5127134, 465690, 720, 1, 20, 80497, 81918724, 3801147519, 3413004556, 36290610, 5040, 1, 35, 830673, 6799306012, 3172383570943, 32355628895416

Offset

1,6

Comments

Table starts

......1............1................1..................1..................1

......1............1................2..................3..................6

......2...........11...............91................829...............8013

......6..........234............14540............1044230...........81918724

.....24.........8466..........5127134.........3801147519......3172383570943

....120.......465690.......3413004556.....32355628895416.355414429986675560

....720.....36290610....3833960867620.552401151665874798

...5040...3806425980.6716778465903760

..40320.517149634680

.362880

Links

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

Example

Some solutions for n=3 k=4
..0..2..1..0....0..2..1..1....0..2..1..0....0..2..2..0....0..0..1..0
..1..0..2..1....2..0..1..2....1..1..2..0....1..1..0..2....2..1..0..2
..2..2..1..0....2..0..1..0....1..2..0..2....1..2..1..0....1..2..1..2

Crossrefs

Column 1 is A000142(n-1).

Row 2 is A001405(n-1).

Sequence in context: A077098 A069238 A248977 * A209610 A324058 A165313

Adjacent sequences: A266652 A266653 A266654 * A266656 A266657 A266658

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 02 2016

Status

approved