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.

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

Offset: 1

Author

R. H. Hardin, Jan 09 2016

Keywords

• nonn
• tabl

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

Examples

			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
		

Links

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

Crossrefs

Column 1 is A000142(n-1).

Column 2 is A024206(n+1).

Row 2 is A001700(n-1).

Row 3 is A266682.