A266455 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north neighbor modulo n and the upper left element equal to 0.

1, 1, 0, 1, 1, 1, 1, 0, 5, 2, 1, 3, 39, 101, 9, 1, 0, 357, 6152, 3417, 44, 1, 10, 3471, 442285, 2079765, 184881, 265, 1, 0, 35003, 34667512, 1548940233, 1362641028, 14216101, 1854, 1, 35, 362265, 2875874396, 1294905380013, 12959331192279, 1511484069811

Offset

1,9

Comments

Table starts

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

.....0..........1.............0..............3.............0...............10

.....1..........5............39............357..........3471............35003

.....2........101..........6152.........442285......34667512.......2875874396

.....9.......3417.......2079765.....1548940233.1294905380013.1166706600769605

....44.....184881....1362641028.12959331192279

...265...14216101.1511484069811

..1854.1477674733

.14833

Links

R. H. Hardin, Table of n, a(n) for n = 1..50

Example

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

Crossrefs

Column 1 is A000166(n-1).

Row 2 is A138364(n-1).

Sequence in context: A197383 A348186 A356030 * A091505 A366626 A030357

Adjacent sequences: A266452 A266453 A266454 * A266456 A266457 A266458

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 29 2015

Status

approved