A267401 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any north, west or northwest neighbors modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 1, 1, 10, 1, 1, 1, 35, 2, 1, 1, 1, 126, 5, 1, 1, 1, 1, 462, 18, 2, 1, 1, 1, 1, 1716, 64, 6, 1, 1, 1, 1, 1, 6435, 200, 38, 2, 1, 1, 1, 1, 1, 24310, 608, 220, 7, 1, 1, 1, 1, 1, 1, 92378, 1892, 1182, 71, 2, 1, 1, 1, 1, 1, 1, 352716, 6003, 5244, 795, 8, 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

.1.1..2..5..18..64..200..608..1892..6003..19569...64801....214944.....712344

.1.1..1..2...6..38..220.1182..5244.21677..83121..317190...1238406....5171963

.1.1..1..1...2...7...71..795..7664.61168.418261.2525791..13827686...70162052

.1.1..1..1...1...2....8..132..2814.52005.763414.9421283..98242523..900233946

.1.1..1..1...1...1....2....9...222..9469.344458.9785889.224584539.4264530811

.1.1..1..1...1...1....1....2....10...368..30728.2257160.125787397.5556862741

.1.1..1..1...1...1....1....1.....2....11....568...95802..14229034

.1.1..1..1...1...1....1....1.....1.....2.....12.....866

Links

R. H. Hardin, Table of n, a(n) for n = 1..237

Example

Some solutions for n=4 k=6
..0..1..2..2..3..3....0..1..2..3..3..3....0..1..1..2..3..3....0..1..2..3..3..0
..1..1..2..3..3..0....1..1..2..3..0..0....0..1..2..2..3..0....1..1..2..3..3..0
..1..1..2..3..0..0....1..2..2..3..0..0....1..1..2..3..3..0....1..1..2..3..0..0
..1..2..2..3..0..0....1..2..2..3..0..1....1..2..2..3..0..0....2..2..2..3..0..1

Crossrefs

Row 2 is A001700(n-1).

Row 3 is A266833.

Sequence in context: A290554 A267264 A267197 * A267338 A158695 A267392

Adjacent sequences: A267398 A267399 A267400 * A267402 A267403 A267404

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 13 2016

Status

approved