A266861 T(n,k) = Number of n X k arrays containing k copies of 0..n-1 with no element 1 greater than its north or southwest neighbor modulo n and the upper left element equal to 0.

1, 1, 0, 1, 0, 1, 1, 0, 4, 2, 1, 0, 17, 39, 9, 1, 0, 66, 999, 1281, 44, 1, 0, 324, 31501, 328701, 67240, 265, 1, 0, 1565, 1115170, 104767812, 200359723, 5126572, 1854, 1, 0, 7908, 41983402, 37478933496, 781538349425, 215846101578, 531096757, 14833, 1, 0

Offset

1,9

Comments

Table starts

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

...0.......0............0.................0................0..............0

...1.......4...........17................66..............324...........1565

...2......39..........999.............31501..........1115170.......41983402

...9....1281.......328701.........104767812......37478933496.14445711101455

..44...67240....200359723......781538349425.3543965467781564

.265.5126572.215846101578.12529121512138533

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 1 is A000166(n-1).

Sequence in context: A248721 A110324 A357586 * A265435 A277004 A371077

Adjacent sequences: A266858 A266859 A266860 * A266862 A266863 A266864

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 04 2016

Status

approved