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A266861 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north or southwest neighbor modulo n and the upper left element equal to 0. 6
1, 1, 0, 1, 0, 1, 1, 0, 4, 2, 1, 0, 17, 39, 9, 1, 0, 66, 999, 1281, 44, 1, 0, 324, 31501, 328701, 67240, 265, 1, 0, 1565, 1115170, 104767812, 200359723, 5126572, 1854, 1, 0, 7908, 41983402, 37478933496, 781538349425, 215846101578, 531096757, 14833, 1, 0 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,9

COMMENTS

Table starts

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

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

...1.......4...........17................66..............324...........1565

...2......39..........999.............31501..........1115170.......41983402

...9....1281.......328701.........104767812......37478933496.14445711101455

..44...67240....200359723......781538349425.3543965467781564

.265.5126572.215846101578.12529121512138533

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A266921 A248721 A110324 * A265435 A277004 A113092

Adjacent sequences:  A266858 A266859 A266860 * A266862 A266863 A266864

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 04 2016

STATUS

approved

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Last modified December 1 12:50 EST 2020. Contains 338833 sequences. (Running on oeis4.)