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.

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

R. H. Hardin, Table of n, a(n) for n = 1..50

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

Adjacent sequences: A266883 A266884 A266885 * A266887 A266888 A266889

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 05 2016

Status

approved