A265656 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal diagonal or antidiagonal neighbors and new values introduced sequentially from 0.

1, 1, 1, 1, 2, 1, 1, 1, 7, 1, 1, 2, 20, 43, 1, 1, 1, 104, 1129, 372, 1, 1, 2, 476, 39913, 104241, 4027, 1, 1, 1, 2428, 1465545, 35213302, 14031233, 51871, 1, 1, 2, 12362, 56069313, 13162584704, 59232755329, 2641322440, 773186, 1, 1, 1, 64454, 2233380101

Offset

1,5

Comments

Table starts

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

.1........2............1...............2...............1.............2

.1........7...........20.............104.............476..........2428

.1.......43.........1129...........39913.........1465545......56069313

.1......372.......104241........35213302.....13162584704.5195648940117

.1.....4027.....14031233.....59232755329.283609520134103

.1....51871...2641322440.167960505022072

.1...773186.663690698065

.1.13083385

Links

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

Example

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

Crossrefs

Column 2 is A265229.

Sequence in context: A088152 A049270 A025269 * A137296 A329291 A294105

Adjacent sequences: A265653 A265654 A265655 * A265657 A265658 A265659

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 12 2015

Status

approved