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!)
A196696 T(n,k)=Number of nXk 0..4 arrays with each element x equal to the number of its horizontal and vertical neighbors equal to 2,1,3,0,4 for x=0,1,2,3,4 8
1, 2, 2, 3, 5, 3, 4, 11, 11, 4, 6, 34, 76, 34, 6, 9, 101, 408, 408, 101, 9, 13, 299, 2025, 3394, 2025, 299, 13, 19, 890, 10548, 30971, 30971, 10548, 890, 19, 28, 2643, 55431, 299031, 546956, 299031, 55431, 2643, 28, 41, 7855, 289038, 2810070, 9357578, 9357578 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Every 0 is next to 0 2's, every 1 is next to 1 1's, every 2 is next to 2 3's, every 3 is next to 3 0's, every 4 is next to 4 4's
Table starts
..1.....2.......3..........4............6...............9................13
..2.....5......11.........34..........101.............299...............890
..3....11......76........408.........2025...........10548.............55431
..4....34.....408.......3394........30971..........299031...........2810070
..6...101....2025......30971.......546956.........9357578.........155701871
..9...299...10548.....299031......9357578.......279754939........8471917814
.13...890...55431....2810070....155701871......8471917814......465819437152
.19..2643..289038...26244524...2639528950....259951215394....25583402376768
.28..7855.1506376..246996575..44828048153...7909511305426..1398455518363119
.41.23340.7857827.2321651409.758613680168.240483051204609.76661027104639150
LINKS
EXAMPLE
Some solutions for n=6 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..1..1
..3..0..1..1....1..1..3..0....1..1..0..0....1..0..0..1....0..1..0..0
..0..3..0..0....0..3..0..3....0..3..0..3....1..0..3..1....0..1..3..0
..0..1..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..3..0..3
..0..1..0..0....0..3..0..3....0..0..3..0....0..0..1..0....1..0..0..0
..0..0..1..1....0..1..1..0....0..1..1..0....0..0..1..0....1..0..3..0
CROSSREFS
Column 1 is A000930(n+1)
Sequence in context: A227641 A295097 A295551 * A196729 A197069 A197450
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Oct 05 2011
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 21 02:29 EDT 2024. Contains 372720 sequences. (Running on oeis4.)