The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A232839 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally, diagonally or antidiagonally 11
4, 16, 16, 216, 312, 64, 710, 6664, 3720, 240, 3648, 67718, 168688, 44832, 988, 25642, 1051216, 4836036, 5659896, 500516, 3964, 139456, 17686598, 202470104, 391884166, 179149960, 5809256, 15844, 683250, 265341016, 8873311108, 45851030856 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
.......4...........16.............216...............710...............3648
......16..........312............6664.............67718............1051216
......64.........3720..........168688...........4836036..........202470104
.....240........44832.........5659896.........391884166........45851030856
.....988.......500516.......179149960.......32297599754.....10331973738132
....3964......5809256......5458025808.....2586501812600...2255412540732792
...15844.....71242892....172736599272...210721854104134.504907550840069764
...63808....828231244...5399804456824.17102998113711722
..256096...9665239984.168429228245712
.1029152.115029333056
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +10*a(n-2) +11*a(n-3) -a(n-4) -28*a(n-5) -32*a(n-6)
k=2: [order 13]
k=3: [order 38]
Empirical for row n:
n=1: [linear recurrence of order 8]
n=2: [order 33]
EXAMPLE
Some solutions for n=3 k=4
..0..2..1..0..0....0..1..2..1..2....0..2..1..0..2....0..1..2..1..2
..0..1..2..1..1....0..1..1..0..0....0..1..0..1..0....0..1..0..1..2
..0..2..2..2..2....0..0..2..2..1....0..0..2..1..2....0..1..1..0..2
..1..0..1..1..0....0..1..0..0..1....0..1..1..2..2....0..2..2..1..0
CROSSREFS
Column 1 is A232425
Sequence in context: A202680 A263568 A009570 * A140299 A119007 A043052
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 30 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 | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 30 06:43 EDT 2024. Contains 372958 sequences. (Running on oeis4.)