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A266493 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 northeast 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, 4, 9, 1, 0, 1, 25, 187, 44, 1, 0, 1, 133, 8088, 7400, 265, 1, 0, 4, 1094, 475606, 3488445, 573865, 1854, 1, 0, 13, 9358, 34126530, 2418377365, 3542542406, 58849205, 14833, 1, 0, 43, 101927, 2913831633, 2055719492942 (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..........4

......2..........4............25............133..........1094.......9358

......9........187..........8088.........475606......34126530.2913831633

.....44.......7400.......3488445.....2418377365.2055719492942

....265.....573865....3542542406.33167761148947

...1854...58849205.5666837887756

..14833.8029423880

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

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

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

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

CROSSREFS

Column 1 is A000166(n-1).

Sequence in context: A295683 A165519 A266972 * A075374 A293024 A292948

Adjacent sequences:  A266490 A266491 A266492 * A266494 A266495 A266496

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 30 2015

STATUS

approved

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Last modified August 4 09:03 EDT 2020. Contains 336201 sequences. (Running on oeis4.)