A267629 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 neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 3, 2, 1, 10, 7, 6, 1, 35, 39, 27, 24, 1, 126, 265, 208, 138, 120, 1, 462, 1802, 2386, 1576, 900, 720, 1, 1716, 12239, 32208, 29387, 14830, 7110, 5040, 1, 6435, 84614, 445970, 679735, 469605, 168500, 66150, 40320, 1, 24310, 597601, 6039160, 17761798

Offset: 1

Author

R. H. Hardin, Jan 18 2016

Keywords

• nonn
• tabl

Comments

Table starts

......1.......1.........1..........1...........1...........1...........1

......1.......3........10.........35.........126.........462........1716

......2.......7........39........265........1802.......12239.......84614

......6......27.......208.......2386.......32208......445970.....6039160

.....24.....138......1576......29387......679735....17761798...490407156

....120.....900.....14830.....469605....19027506...873319806.44064461220

....720....7110....168500....8889180...651123366.54381881627

...5040...66150...2247280..196362845.25708254936

..40320..708120..34423760.4969038690

.362880.8573040.596248800

Examples

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

Links

• R. H. Hardin, Table of n, a(n) for n = 1..83

Crossrefs

Column 1 is A000142(n-1).

Row 2 is A001700(n-1).

Row 3 is A266310.