login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A263506 T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 1 or 2, and rows and columns in increasing lexicographic order. 7
8, 48, 59, 204, 2282, 360, 770, 54924, 78306, 2196, 2687, 1111442, 8349744, 2785493, 13704, 8559, 20380008, 830632993, 1425379543, 101776538, 85189, 25383, 337841109, 77648070968, 714115802545, 255768846517, 3683279274, 528559, 71498 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......8...........48............204.............770............2687

......59.........2282..........54924.........1111442........20380008

.....360........78306........8349744.......830632993.....77648070968

....2196......2785493.....1425379543....714115802545.337720306039004

...13704....101776538...255768846517.646202010775260

...85189...3683279274.45106218220800

..528559.133026960133

.3280284

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..40

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 15]

Empirical for row n:

n=1: [linear recurrence of order 13]

EXAMPLE

Some solutions for n=2 k=4

..0..1..2..4.14....0..3..6..7..8....0..1..2..3..4....0..1..2..4.14

..5..7.13..9..3....5.11..9..2.14....5..8..9..7.13....5.12.11..9..3

.10.12..6.11..8...10..1.13.12..4...10..6.11.14.12...10..6..7.13..8

CROSSREFS

Sequence in context: A296797 A024108 A247726 * A216323 A165037 A121028

Adjacent sequences:  A263503 A263504 A263505 * A263507 A263508 A263509

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Oct 19 2015

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 19 11:18 EDT 2019. Contains 322264 sequences. (Running on oeis4.)