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A267019 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with every element equal to or 1 greater than any northeast or northwest neighbors modulo n and the upper left element equal to 0. 9
1, 1, 1, 1, 3, 2, 1, 10, 5, 6, 1, 35, 15, 8, 24, 1, 126, 59, 21, 11, 120, 1, 462, 257, 137, 45, 15, 720, 1, 1716, 1205, 759, 259, 37, 19, 5040, 1, 6435, 5879, 4835, 2063, 537, 147, 24, 40320, 1, 24310, 29693, 31591, 18157, 5493, 1015, 62, 29, 362880, 1, 92378, 153097 (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..3..10...35....126......462......1716......6435......24310......92378

......2..5..15...59....257.....1205......5879.....29693.....153097.....806375

......6..8..21..137....759.....4835.....31591....216460....1516047...10864196

.....24.11..45..259...2063....18157....172169...1717333...17555313..184061791

....120.15..37..537...5493....69265....912057..13122646..193577805.2965487933

....720.19.147.1015..15171...255437...4893787.100710495.2166450939

...5040.24..62.2132..39804...997598..26320280.787556232

..40320.29.537.4045.117871..3689017.143694547

.362880.35.104.8511.292196.14484099

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..126

EXAMPLE

Some solutions for n=4 k=4

..0..2..3..2....0..1..3..2....0..1..3..2....0..3..1..2....0..3..0..2

..2..0..2..0....2..0..2..0....2..0..2..0....3..1..3..1....3..1..3..1

..1..3..1..3....1..3..1..3....0..3..1..2....2..0..2..0....2..0..1..3

..0..1..3..1....3..2..0..1....3..1..3..1....0..2..1..3....1..2..0..2

CROSSREFS

Column 1 is A000142(n-1).

Column 2 is A024206(n+1).

Row 2 is A001700(n-1).

Row 3 is A266682.

Sequence in context: A267562 A267742 A267278 * A100100 A248036 A307214

Adjacent sequences:  A267016 A267017 A267018 * A267020 A267021 A267022

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 09 2016

STATUS

approved

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Last modified October 26 06:08 EDT 2021. Contains 348257 sequences. (Running on oeis4.)