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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A229460 T(n,k)=Number of defective 3-colorings of an nXk 0..2 array connected horizontally and vertically with exactly one mistake and colors introduced in row-major 0..2 order 8
0, 1, 1, 2, 4, 2, 6, 20, 20, 6, 16, 84, 140, 84, 16, 40, 324, 863, 863, 324, 40, 96, 1188, 4962, 7940, 4962, 1188, 96, 224, 4212, 27313, 68790, 68790, 27313, 4212, 224, 512, 14580, 145932, 573342, 903332, 573342, 145932, 14580, 512, 1152, 49572, 763031 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Table starts

...0.....1......2........6.........16..........40............96.............224

...1.....4.....20.......84........324........1188..........4212...........14580

...2....20....140......863.......4962.......27313........145932..........763031

...6....84....863.....7940......68790......573342.......4651079........36985536

..16...324...4962....68790.....903332....11451686.....141595454......1718447506

..40..1188..27313...573342...11451686...221410052....4182294415.....77626332302

..96..4212.145932..4651079..141595454..4182294415..120864516084...3435347473308

.224.14580.763031.36985536.1718447506.77626332302.3435347473308.149656305350148

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..420

FORMULA

Empirical for column k:

k=1: a(n) = 4*a(n-1) -4*a(n-2) for n>4

k=2: a(n) = 6*a(n-1) -9*a(n-2) for n>3

k=3: a(n) = 10*a(n-1) -29*a(n-2) +20*a(n-3) -4*a(n-4)

k=4: [order 6] for n>7

k=5: [order 10]

k=6: [order 14] for n>15

k=7: [order 26]

k=8: [order 38] for n>39

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A057711(n-1)

Column 2 is A167682(n-1)

Sequence in context: A174298 A196347 A021012 * A154120 A261964 A177847

Adjacent sequences:  A229457 A229458 A229459 * A229461 A229462 A229463

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Sep 24 2013

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 December 12 15:11 EST 2019. Contains 329960 sequences. (Running on oeis4.)