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

1,5

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

Links

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

Example

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

Crossrefs

Column 1 is A000142(n-1).

Row 2 is A001700(n-1).

Row 3 is A266310.

Sequence in context: A185967 A188111 A102472 * A101894 A187105 A116071

Adjacent sequences: A267626 A267627 A267628 * A267630 A267631 A267632

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 18 2016

Status

approved