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A266825 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west, northwest or southwest neighbor modulo n and the upper left element equal to 0. 6
1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 9, 1, 0, 4, 16, 86, 44, 1, 0, 10, 133, 3335, 4701, 265, 1, 0, 25, 1236, 242563, 2320408, 378116, 1854, 1, 0, 45, 15125, 34126530, 1900782587, 2535597415, 41728537, 14833, 1, 0, 120, 214140, 5123428157, 1909319290122 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,10

COMMENTS

Table starts

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

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

......1..........0.............1..............4............10.........25

......2..........1............16............133..........1236......15125

......9.........86..........3335.........242563......34126530.5123428157

.....44.......4701.......2320408.....1900782587.1909319290122

....265.....378116....2535597415.26186341952354

...1854...41728537.4417318594838

..14833.5954780104

.133496

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

..0..3..2..1....0..2..1..1....0..2..1..3....0..3..3..1....0..0..3..1

..0..3..2..1....3..2..1..0....0..2..1..3....0..3..2..1....0..3..2..1

..0..3..2..1....2..1..0..3....0..2..1..3....0..2..2..1....0..3..2..1

..0..3..2..1....2..0..3..3....0..2..1..3....3..2..1..0....3..2..2..1

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A245683 A273712 A129634 * A066438 A279291 A051126

Adjacent sequences:  A266822 A266823 A266824 * A266826 A266827 A266828

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 04 2016

STATUS

approved

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Last modified September 18 19:30 EDT 2021. Contains 347534 sequences. (Running on oeis4.)