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!)
A283950 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. 12
0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 16, 87, 0, 0, 0, 84, 906, 900, 0, 0, 0, 408, 7988, 16648, 8184, 0, 0, 0, 1926, 69468, 264482, 283208, 71486, 0, 0, 0, 8776, 575456, 4242700, 8244557, 4510608, 597042, 0, 0, 0, 38912, 4604744, 64614384, 241796070, 242330064 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,8
COMMENTS
Table starts
.0.0......0........0..........0............0..............0................0
.0.0......2.......16.........84..........408...........1926.............8776
.0.0.....87......906.......7988........69468.........575456..........4604744
.0.0....900....16648.....264482......4242700.......64614384........948567440
.0.0...8184...283208....8244557....241796070.....6763514843.....182198176994
.0.0..71486..4510608..242330064..13010689912...667015216686...32960788748780
.0.0.597042.68693470.6816984648.669777003928.62944601744067.5709831013093658
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = a(n-1)
k=2: a(n) = a(n-1)
k=3: [order 16]
k=4: [order 34]
k=5: [order 90]
Empirical for row n:
n=1: a(n) = a(n-1)
n=2: [order 8]
n=3: [order 28]
n=4: [order 56]
EXAMPLE
Some solutions for n=4 k=4
..1..0..1..0. .0..1..1..1. .1..0..1..0. .1..1..0..1. .0..1..0..0
..1..1..0..1. .0..1..1..0. .0..0..0..1. .1..0..1..1. .0..0..0..1
..1..1..0..0. .1..1..0..0. .1..1..1..0. .0..1..0..0. .1..1..1..1
..1..1..0..0. .0..0..0..1. .1..1..0..1. .0..0..1..1. .0..1..0..0
CROSSREFS
Sequence in context: A348029 A224074 A136615 * A342376 A277443 A209401
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Mar 18 2017
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 July 14 19:09 EDT 2024. Contains 374323 sequences. (Running on oeis4.)