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A266632 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element 1 greater than its north, west, southeast or southwest 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, 13, 9, 1, 0, 1, 64, 139, 44, 1, 0, 1, 438, 6342, 7623, 265, 1, 0, 1, 3265, 388863, 3030929, 585112, 1854, 1, 0, 1, 27626, 27063372, 1772907246, 3232725244, 60695930, 14833, 1, 0, 1, 266481, 2069073259, 1296240915530 (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..........1.............1..............1.............1..........1

......2.........13............64............438..........3265......27626

......9........139..........6342.........388863......27063372.2069073259

.....44.......7623.......3030929.....1772907246.1296240915530

....265.....585112....3232725244.27352023568047

...1854...60695930.5451050692400

..14833.8247622671

.133496

LINKS

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

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A326476 A247864 A331278 * A062154 A334159 A326474

Adjacent sequences:  A266629 A266630 A266631 * A266633 A266634 A266635

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 01 2016

STATUS

approved

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Last modified December 4 08:54 EST 2020. Contains 338921 sequences. (Running on oeis4.)