login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A223000 T(n,k)=Number of nXk 0..2 arrays with no more than floor(nXk/2) elements equal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order 8
1, 1, 2, 2, 7, 5, 10, 45, 51, 14, 24, 272, 534, 391, 41, 72, 1814, 11114, 13655, 2894, 122, 168, 12742, 125907, 486262, 184475, 22491, 365, 664, 87682, 2889947, 18420655, 21692365, 4816824, 173099, 1094, 1632, 608358, 34120953, 713884175, 1388632315 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Table starts

.....1........1...........2............10.............24.............72

.....2........7..........45...........272...........1814..........12742

.....5.......51.........534.........11114.........125907........2889947

....14......391.......13655........486262.......18420655......713884175

....41.....2894......184475......21692365.....1388632315...182298485349

...122....22491.....4816824.....982879508...213770689590.47420968486333

...365...173099....67178532...45079248621.16612891441497

..1094..1351439..1775642951.2086133257739

..3281.10562301.25210032184

..9842.83067164

.29525

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..71

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A007051(n-1)

Column 2 is A222849

Row 1 is A222848

Sequence in context: A241370 A197735 A249493 * A058625 A006748 A193548

Adjacent sequences:  A222997 A222998 A222999 * A223001 A223002 A223003

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Mar 11 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 | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified September 25 21:33 EDT 2017. Contains 292500 sequences.