A266632 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west, southeast or southwest neighbor modulo n and the upper left element equal to 0.

1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 13, 9, 1, 0, 1, 64, 139, 44, 1, 0, 1, 438, 6342, 7623, 265, 1, 0, 1, 3265, 388863, 3030929, 585112, 1854, 1, 0, 1, 27626, 27063372, 1772907246, 3232725244, 60695930, 14833, 1, 0, 1, 266481, 2069073259, 1296240915530

Offset

1,10

Comments

Table starts

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

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

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

......2.........13............64............438..........3265......27626

......9........139..........6342.........388863......27063372.2069073259

.....44.......7623.......3030929.....1772907246.1296240915530

....265.....585112....3232725244.27352023568047

...1854...60695930.5451050692400

..14833.8247622671

.133496

Links

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

Example

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

Crossrefs

Column 1 is A000166(n-1).

Sequence in context: A247864 A370398 A331278 * A062154 A359619 A334159

Adjacent sequences: A266629 A266630 A266631 * A266633 A266634 A266635

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 01 2016

Status

approved