A267425 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any west, northeast or northwest neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 2, 1, 10, 2, 6, 1, 35, 2, 1, 24, 1, 126, 2, 1, 1, 120, 1, 462, 2, 1, 1, 1, 720, 1, 1716, 5, 1, 1, 1, 1, 5040, 1, 6435, 14, 1, 1, 1, 1, 1, 40320, 1, 24310, 44, 1, 1, 1, 1, 1, 1, 362880, 1, 92378, 127, 5, 1, 1, 1, 1, 1, 1, 3628800, 1, 352716, 325, 27, 1, 1, 1, 1, 1, 1, 1

Offset

1,5

Comments

Table starts

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

......1.3.10.35.126.462.1716.6435.24310.92378.352716.1352078.5200300.20058300

......2.2..2..2...2...5...14...44...127...325....779....1794....3988.....8830

......6.1..1..1...1...1....1....5....27...147....716....3088...11526....39526

.....24.1..1..1...1...1....1....1.....1.....9.....65.....624....5309....38578

....120.1..1..1...1...1....1....1.....1.....1......1......15.....192.....3064

....720.1..1..1...1...1....1....1.....1.....1......1.......1.......1.......34

...5040.1..1..1...1...1....1....1.....1.....1......1.......1.......1........1

..40320.1..1..1...1...1....1....1.....1.....1......1.......1.......1

.362880.1..1..1...1...1....1....1.....1.....1......1.......1

Links

R. H. Hardin, Table of n, a(n) for n = 1..230

Example

Some solutions for n=4 k=9
..0..0..0..0..1..1..2..2..2....0..0..0..1..1..2..2..2..3
..0..0..0..1..1..2..2..3..3....0..0..1..1..2..2..3..3..3
..0..0..1..1..2..2..3..3..3....1..1..1..2..2..3..3..3..0
..1..1..1..2..2..3..3..3..3....1..1..2..2..3..3..0..0..0

Crossrefs

Column 1 is A000142(n-1).

Row 2 is A001700(n-1).

Row 3 is A266995.

Sequence in context: A262554 A129964 A267328 * A267562 A267742 A267278

Adjacent sequences: A267422 A267423 A267424 * A267426 A267427 A267428

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 14 2016

Status

approved