A266309 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west neighbor modulo n and the upper left element equal to 0.

1, 1, 1, 1, 1, 2, 1, 1, 7, 6, 1, 1, 39, 171, 24, 1, 1, 265, 8190, 6666, 120, 1, 1, 1802, 442285, 3264584, 384360, 720, 1, 1, 12239, 25839438, 1935720551, 2357929910, 30900150, 5040, 1, 1, 84614, 1605405629, 1294905380013, 18647592370365, 2805027363620

Offset

1,6

Comments

Table starts

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

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

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

...6....171.......8190.........442285...........25839438.............1605405629

..24...6666....3264584.....1935720551......1294905380013........934699483462236

.120.384360.2357929910.18647592370365.170964048684610518.1721790755351199712746

Links

R. H. Hardin, Table of n, a(n) for n = 1..66

Example

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

Crossrefs

Column 1 is A000142(n-1).

Sequence in context: A005450 A039760 A156882 * A122021 A303817 A158200

Adjacent sequences: A266306 A266307 A266308 * A266310 A266311 A266312

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 26 2015

Status

approved