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!)
A265965 T(n,k)=Number of nXk integer arrays with each element equal to the number of horizontal, vertical and antidiagonal neighbors less than or equal to itself. 5
1, 3, 3, 2, 8, 2, 7, 50, 50, 7, 19, 1491, 150, 1491, 19, 35, 7741, 5582, 5582, 7741, 35, 77, 82424, 59454, 1111758, 59454, 82424, 77, 176, 763505, 809199, 74291246, 74291246, 809199, 763505, 176, 377, 6210500, 12253344, 4880049141, 16816210911 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Table starts
...1.......3.........2..............7.................19..................35
...3.......8........50...........1491...............7741...............82424
...2......50.......150...........5582..............59454..............809199
...7....1491......5582........1111758...........74291246..........4880049141
..19....7741.....59454.......74291246........16816210911.......3057992438196
..35...82424....809199.....4880049141......3057992438196....1826477943263851
..77..763505..12253344...389508194942....853715037314662.1718918677426337400
.176.6210500.172499046.27699226366664.203178594217817141
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1) +a(n-2) +3*a(n-3) +a(n-4)
k=2: [order 41]
EXAMPLE
Some solutions for n=3 k=4
..0..4..1..2....2..2..3..1....0..3..3..1....1..4..0..2....0..2..1..0
..2..1..6..0....0..6..0..4....2..6..0..4....0..2..6..1....3..6..5..3
..3..2..1..2....2..2..4..0....2..1..4..0....3..3..1..2....1..0..2..0
CROSSREFS
Column 1 is A196537.
Sequence in context: A158468 A238278 A200770 * A192787 A268724 A248569
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 19 2015
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 April 13 04:33 EDT 2024. Contains 371639 sequences. (Running on oeis4.)