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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. 5
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 (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........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

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Last modified August 8 09:40 EDT 2022. Contains 356009 sequences. (Running on oeis4.)