login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A278006 T(n,k)=Number of nXk 0..2 arrays with every element plus 1 mod 3 equal to some element at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) (1,-1) or (1,0), with upper left element zero. 7
0, 0, 0, 0, 9, 0, 0, 52, 52, 0, 0, 364, 866, 364, 0, 0, 2523, 16583, 16583, 2523, 0, 0, 17424, 316432, 912870, 316432, 17424, 0, 0, 120462, 6031565, 49996267, 49996267, 6031565, 120462, 0, 0, 832701, 114975158, 2732579072, 7830217270, 2732579072, 114975158 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Table starts

.0......0..........0.............0.................0.....................0

.0......9.........52...........364..............2523.................17424

.0.....52........866.........16583............316432...............6031565

.0....364......16583........912870..........49996267............2732579072

.0...2523.....316432......49996267........7830217270.........1224179323009

.0..17424....6031565....2732579072.....1224179323009.......547419319384315

.0.120462..114975158..149393609720...191436065235070....244860735613038021

.0.832701.2191741025.8167589147618.29936909309888730.109526799967682916321

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..144

FORMULA

Empirical for column k:

k=2: a(n) = 6*a(n-1) +6*a(n-2) +3*a(n-3) -6*a(n-4)

k=3: [order 16]

k=4: [order 38]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Sequence in context: A340946 A255292 A103636 * A221804 A275107 A274186

Adjacent sequences:  A278003 A278004 A278005 * A278007 A278008 A278009

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 08 2016

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 September 18 13:54 EDT 2021. Contains 347527 sequences. (Running on oeis4.)