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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.
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 04 2015
STATUS
approved