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A266832
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west or northwest neighbor modulo n and the upper left element equal to 0.
5
1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 11, 9, 1, 0, 5, 95, 314, 44, 1, 0, 18, 1267, 27315, 16904, 265, 1, 0, 64, 19605, 3343156, 18101569, 1344296, 1854, 1, 0, 200, 322100, 501954949, 27013215515, 20154412479, 145081212, 14833, 1, 0, 608, 5798969, 84214451308
OFFSET
1,10
COMMENTS
Table starts
.....1.........1...........1...........1.........1...........1.......1...1.1.1
.....0.........0...........0...........0.........0...........0.......0...0.0
.....1.........1...........2...........5........18..........64.....200.608
.....2........11..........95........1267.....19605......322100.5798969
.....9.......314.......27315.....3343156.501954949.84214451308
....44.....16904....18101569.27013215515
...265...1344296.20154412479
..1854.145081212
.14833
EXAMPLE
Some solutions for n=4 k=4
..0..3..3..3....0..3..1..0....0..0..0..2....0..3..3..2....0..0..3..1
..0..2..2..1....3..3..1..0....0..3..2..2....0..3..3..2....0..2..2..1
..2..2..1..1....2..2..1..0....3..3..1..1....2..2..1..1....3..2..1..1
..1..0..0..3....2..2..1..3....3..2..1..1....1..1..0..0....3..2..0..3
CROSSREFS
Column 1 is A000166(n-1).
Sequence in context: A266878 A339780 A199469 * A373570 A307772 A225203
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 04 2016
STATUS
approved