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A267072 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its west or southwest neighbor modulo n and the upper left element equal to 0. 6
1, 1, 1, 1, 0, 2, 1, 0, 2, 6, 1, 0, 6, 44, 24, 1, 0, 31, 1129, 1949, 120, 1, 0, 141, 30637, 437427, 119544, 720, 1, 0, 550, 775567, 109852687, 310439601, 9966710, 5040, 1, 0, 2046, 21970109, 31745527110, 1011979038956, 368078731163, 1094087602, 40320, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,6

COMMENTS

Table starts

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

...1.......0............0.................0................0..............0

...2.......2............6................31..............141............550

...6......44.........1129.............30637...........775567.......21970109

..24....1949.......437427.........109852687......31745527110.10164842993183

.120..119544....310439601.....1011979038956.3899321211077068

.720.9966710.368078731163.18398910840846332

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000142(n-1).

Sequence in context: A246117 A295688 A266994 * A070677 A269339 A300192

Adjacent sequences:  A267069 A267070 A267071 * A267073 A267074 A267075

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 10 2016

STATUS

approved

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Last modified October 22 02:33 EDT 2018. Contains 316431 sequences. (Running on oeis4.)