login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A197242 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 4,3,2,1,2 for x=0,1,2,3,4 7
1, 1, 1, 1, 2, 1, 1, 5, 5, 1, 1, 8, 15, 8, 1, 1, 18, 46, 46, 18, 1, 1, 37, 156, 231, 156, 37, 1, 1, 73, 507, 1221, 1221, 507, 73, 1, 1, 151, 1637, 6284, 10649, 6284, 1637, 151, 1, 1, 306, 5338, 32754, 89527, 89527, 32754, 5338, 306, 1, 1, 621, 17401, 170928, 750414 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

Every 0 is next to 0 4's, every 1 is next to 1 3's, every 2 is next to 2 2's, every 3 is next to 3 1's, every 4 is next to 4 2's

Table starts

.1...1.....1.......1.........1...........1.............1...............1

.1...2.....5.......8........18..........37............73.............151

.1...5....15......46.......156.........507..........1637............5338

.1...8....46.....231......1221........6284.........32754..........170928

.1..18...156....1221.....10649.......89527........750414.........6315333

.1..37...507....6284.....89527.....1209990......16248436.......220537819

.1..73..1637...32754....750414....16248436.....352842084......7724652441

.1.151..5338..170928...6315333...220537819....7724652441....271939715540

.1.306.17401..888997..53202193..2991520965..168523962450...9558380534198

.1.621.56648.4628482.448046100.40512793371.3676078979774.336139854722483

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..180

EXAMPLE

Some solutions containing all values 0 to 4 for n=6 k=4

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

..2..2..3..1....0..2..4..2....2..2..2..0....0..2..2..2....0..2..4..2

..0..0..1..0....1..2..2..2....2..4..2..0....0..2..4..2....0..2..2..2

..2..2..2..0....3..1..0..1....2..2..2..1....0..2..2..2....0..1..0..0

..2..4..2..0....1..1..1..3....0..0..1..3....0..1..0..0....0..3..1..0

..2..2..2..0....1..3..1..1....0..0..0..1....1..3..1..0....0..1..0..0

CROSSREFS

Column 2 is A197211

Sequence in context: A176625 A197342 A197217 * A128564 A196636 A196641

Adjacent sequences:  A197239 A197240 A197241 * A197243 A197244 A197245

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 12 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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 30 20:17 EST 2021. Contains 349425 sequences. (Running on oeis4.)