A265192 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal or antidiagonal neighbors and new values introduced sequentially from 0.

1, 0, 1, 0, 1, 1, 0, 0, 5, 1, 0, 1, 17, 36, 1, 0, 0, 42, 774, 329, 1, 0, 1, 155, 20592, 76035, 3655, 1, 0, 0, 511, 583806, 20957398, 10866362, 47844, 1, 0, 1, 2023, 17355854, 6394366422, 38833756515, 2130866037, 721315, 1, 0, 0, 7760, 531710144

Offset

1,9

Comments

Table starts

.1........0............0...............0...............0..................0

.1........1............0...............1...............0..................1

.1........5...........17..............42.............155................511

.1.......36..........774...........20592..........583806...........17355854

.1......329........76035........20957398......6394366422......2057050979371

.1.....3655.....10866362.....38833756515.157027988934320.683255971286971494

.1....47844...2130866037.117650546564305

.1...721315.551607137250

.1.12310199

Links

R. H. Hardin, Table of n, a(n) for n = 1..61

Example

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

Crossrefs

Column 2 is A000806.

Sequence in context: A019755 A085475 A211399 * A157012 A102365 A269945

Adjacent sequences: A265189 A265190 A265191 * A265193 A265194 A265195

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 04 2015

Status

approved