A267836 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 2, 1, 10, 11, 6, 1, 35, 91, 54, 24, 1, 126, 829, 924, 330, 120, 1, 462, 8013, 19696, 10924, 2430, 720, 1, 1716, 80497, 456052, 499523, 147340, 20970, 5040, 1, 6435, 830673, 11169884, 26266875, 13895954, 2247540, 207900, 40320, 1, 24310

Offset

1,5

Comments

Table starts

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

......1........3........10..........35..........126..........462...........1716

......2.......11........91.........829.........8013........80497.........830673

......6.......54.......924.......19696.......456052.....11169884......284749896

.....24......330.....10924......499523.....26266875...1478892354....87594047188

....120.....2430....147340....13895954...1578668020.197549600170.26227806728176

....720....20970...2247540...422626232.100947966762

...5040...207900..38338680.14039428460

..40320..2331000.723997540

.362880.29189160

Links

R. H. Hardin, Table of n, a(n) for n = 1..72

Example

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

Crossrefs

Column 1 is A000142(n-1).

Row 2 is A001700(n-1).

Row 3 is A266656.

Sequence in context: A214622 A327801 A320578 * A319669 A325305 A309951

Adjacent sequences: A267833 A267834 A267835 * A267837 A267838 A267839

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 21 2016

Status

approved