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A264954 T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal or vertical neighbors. 6
1, 0, 2, 0, 2, 6, 0, 2, 12, 24, 0, 2, 36, 504, 120, 0, 2, 114, 10728, 22320, 720, 0, 2, 420, 269352, 4857120, 1521360, 5040, 0, 2, 1584, 7340712, 1286876160, 4099655520, 140394240, 40320, 0, 2, 6228, 212706840, 378296480400, 13998666435840 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

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

.......2.............2.................2..................2.................2

.......6............12................36................114...............420

......24...........504.............10728.............269352...........7340712

.....120.........22320...........4857120.........1286876160......378296480400

.....720.......1521360........4099655520.....13998666435840.54517360458428640

....5040.....140394240.....5589688315680.292785244605453600

...40320...17034433920.11532215497783680

..362880.2627788262400

.3628800

LINKS

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

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A000142.

Sequence in context: A033733 A115951 A057607 * A212085 A265882 A324253

Adjacent sequences:  A264951 A264952 A264953 * A264955 A264956 A264957

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 29 2015

STATUS

approved

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Last modified September 19 17:35 EDT 2021. Contains 347564 sequences. (Running on oeis4.)