A266042 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any vertical or antidiagonal neighbor equal to n-1.

1, 1, 0, 1, 0, 2, 1, 0, 8, 8, 1, 0, 30, 104, 48, 1, 0, 146, 2408, 6440, 240, 1, 0, 620, 74416, 1477440, 312960, 1968, 1, 0, 3018, 2603736, 456791920, 854084640, 36965712, 13824, 1, 0, 14356, 97230000, 161738440488, 3226910232000, 1480836132576, 3615441408

Offset

1,6

Comments

Table starts

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

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

.......2............8...............30...............146...............620

.......8..........104.............2408.............74416...........2603736

......48.........6440..........1477440.........456791920......161738440488

.....240.......312960........854084640.....3226910232000.14428651957822752

....1968.....36965712....1480836132576.84359520856820208

...13824...3615441408.2354482052331648

..140160.668391093888

.1263360

Links

R. H. Hardin, Table of n, a(n) for n = 1..55

Example

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

Crossrefs

Sequence in context: A327363 A051122 A307656 * A202817 A322222 A265012

Adjacent sequences: A266039 A266040 A266041 * A266043 A266044 A266045

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 20 2015

Status

approved