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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. 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified September 21 07:08 EDT 2019. Contains 327253 sequences. (Running on oeis4.)