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A266886
T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, northeast or northwest neighbor modulo n and the upper left element equal to 0.
6
1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 22, 9, 1, 0, 1, 322, 525, 44, 1, 0, 1, 5826, 52149, 26100, 265, 1, 0, 7, 116602, 7517433, 33089774, 1916217, 1854, 1, 0, 41, 2507350, 1305588167, 57644876152, 32230426133, 197069522, 14833, 1, 0, 209, 56777970
OFFSET
1,10
COMMENTS
Table starts
.....1.........1...........1...........1..........1............1........1...1.1
.....0.........0...........0...........0..........0............0........0...0.0
.....1.........1...........1...........1..........1............7.......41.209
.....2........22.........322........5826.....116602......2507350.56777970
.....9.......525.......52149.....7517433.1305588167.253772079771
....44.....26100....33089774.57644876152
...265...1916217.32230426133
..1854.197069522
.14833
LINKS
EXAMPLE
Some solutions for n=4 k=4
..0..1..1..1....0..0..1..1....0..1..1..1....0..3..3..0....0..3..3..3
..3..3..3..0....3..3..3..3....0..0..1..3....2..2..3..3....2..2..3..1
..2..2..2..3....1..2..2..2....2..0..3..3....1..2..2..1....2..2..1..1
..0..0..2..1....0..0..1..2....2..2..2..3....1..1..0..0....0..0..0..1
CROSSREFS
Column 1 is A000166(n-1).
Sequence in context: A359619 A334159 A326474 * A267546 A228817 A110399
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 05 2016
STATUS
approved