A266854 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west, northeast or southeast neighbor modulo n and the upper left element equal to 0.

1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 6, 9, 1, 0, 1, 44, 171, 44, 1, 0, 1, 438, 6850, 7637, 265, 1, 0, 1, 4156, 394483, 3070032, 597012, 1854, 1, 0, 1, 49033, 27063372, 1786473231, 3287263919, 61297802, 14833, 1, 0, 1, 588632, 2049888834, 1300886417712

Offset

1,10

Comments

Table starts

......1..........1.............1..............1.............1..........1

......0..........0.............0..............0.............0..........0

......1..........1.............1..............1.............1..........1

......2..........6............44............438..........4156......49033

......9........171..........6850.........394483......27063372.2049888834

.....44.......7637.......3070032.....1786473231.1300886417712

....265.....597012....3287263919.27637654090718

...1854...61297802.5468455977296

..14833.8302773834

.133496

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

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

Crossrefs

Column 1 is A000166(n-1).

Sequence in context: A349618 A321615 A011126 * A326882 A265170 A217653

Adjacent sequences: A266851 A266852 A266853 * A266855 A266856 A266857

Keyword

nonn,tabl

Author

R. H. Hardin, Jan 04 2016

Status

approved