A267328 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any southwest or northwest neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 2, 1, 10, 0, 6, 1, 35, 1, 0, 24, 1, 126, 15, 0, 0, 120, 1, 462, 65, 1, 0, 0, 720, 1, 1716, 202, 22, 0, 0, 0, 5040, 1, 6435, 537, 396, 1, 0, 0, 0, 40320, 1, 24310, 1559, 2516, 30, 0, 0, 0, 0, 362880, 1, 92378, 6506, 10533, 1929, 1, 0, 0, 0, 0, 3628800, 1, 352716

Offset

1,5

Comments

Table starts

......1.1..1..1...1...1....1.....1......1........1.........1...........1

......1.3.10.35.126.462.1716..6435..24310....92378....352716.....1352078

......2.0..1.15..65.202..537..1559...6506....27557....104122......360598

......6.0..0..1..22.396.2516.10533..33704....92526....369726.....2640466

.....24.0..0..0...1..30.1929.39176.359300..2137958...8673978....28057788

....120.0..0..0...0...1...38..8314.552162.14897883.202307164..1740883167

....720.0..0..0...0...0....1....46..29393..6837388.613275874.23205147788

...5040.0..0..0...0...0....0.....1.....54....99680..77332028.23049149898

..40320.0..0..0...0...0....0.....0......1.......62....376803...812885568

.362880.0..0..0...0...0....0.....0......0........1........70.....1268170

Links

R. H. Hardin, Table of n, a(n) for n = 1..236

Example

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

Crossrefs

Column 1 is A000142(n-1).

Row 2 is A001700(n-1).

Row 3 is A267164.

Sequence in context: A282628 A262554 A129964 * A267425 A267562 A267742

Adjacent sequences: A267325 A267326 A267327 * A267329 A267330 A267331

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 13 2016

Status

approved