A265679 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal vertical or antidiagonal neighbors and new values introduced sequentially from 0.

1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 17, 23, 1, 1, 1, 75, 632, 209, 1, 1, 1, 342, 20592, 54920, 2301, 1, 1, 1, 1609, 734400, 17745759, 7286105, 29992, 1, 1, 1, 7794, 27705984, 6394366422, 29353774235, 1365147580, 450525, 1, 1, 1, 38769, 1086831962

Offset

1,9

Comments

Table starts

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

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

.1.......4...........17.............75.............342..........1609

.1......23..........632..........20592..........734400......27705984

.1.....209........54920.......17745759......6394366422.2477249527858

.1....2301......7286105....29353774235.135397500774458

.1...29992...1365147580.82336362679563

.1..450525.342267410418

.1.7666097

.1

Links

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

Example

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

Crossrefs

Sequence in context: A352834 A203639 A358319 * A348989 A362297 A354358

Adjacent sequences: A265676 A265677 A265678 * A265680 A265681 A265682

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 13 2015

Status

approved