login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A252695 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and in every diagonal and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order 9
46, 96, 96, 148, 142, 148, 394, 204, 204, 394, 707, 519, 134, 519, 707, 1982, 1047, 407, 407, 1047, 1982, 3703, 2719, 291, 1480, 291, 2719, 3703, 10772, 6483, 881, 2048, 2048, 881, 6483, 10772, 20437, 16887, 727, 6246, 568, 6246, 727, 16887, 20437, 60042 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....46.....96..148....394...707...1982...3703...10772..20437...60042..115343

....96....142..204....519..1047...2719...6483...16887..42825..111655..288975

...148....204..134....407...291....881....727....2067...2067....5331....6491

...394....519..407...1480..2048...6246..12740...35128..84680..225000..573968

...707...1047..291...2048...568...4138...1276....8608...3244...18576....9144

..1982...2719..881...6246..4138..18940..25382...82842.168598..474106.1144322

..3703...6483..727..12740..1276..25382...2592...51060...5944..103716...15052

.10772..16887.2067..35128..8608..82842..51060..255112.337036.1125816.2286048

.20437..42825.2067..84680..3244.168598...5944..337036..12400..675756...28596

.60042.111655.5331.225000.18576.474106.103716.1125816.675756.3480808.4572432

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..480

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 13] for n>14

k=2: [order 10] for n>11

k=3: [order 9] for n>10

k=4: [order 10] for n>11

k=5: [order 9] for n>10

k=6: [order 10] for n>11

k=7: [order 9] for n>10

EXAMPLE

Some solutions for n=4 k=4

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

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

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

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

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

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

CROSSREFS

Sequence in context: A260568 A044184 A044565 * A252688 A119417 A287767

Adjacent sequences:  A252692 A252693 A252694 * A252696 A252697 A252698

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 20 2014

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified July 6 11:37 EDT 2022. Contains 355110 sequences. (Running on oeis4.)