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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.
5
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Jan 04 2016
STATUS
approved