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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A196922 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 1,3,2,4,0 for x=0,1,2,3,4 7
1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 1, 4, 7, 4, 1, 1, 6, 12, 12, 6, 1, 1, 9, 27, 37, 27, 9, 1, 1, 13, 58, 114, 114, 58, 13, 1, 1, 19, 121, 335, 602, 335, 121, 19, 1, 1, 28, 257, 1003, 2659, 2659, 1003, 257, 28, 1, 1, 41, 545, 3051, 11843, 18354, 11843, 3051, 545, 41, 1, 1, 60, 1153 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,5

COMMENTS

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

Table starts

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

.1..2....3.....4.......6........9.........13..........19............28

.1..3....7....12......27.......58........121.........257...........545

.1..4...12....37.....114......335.......1003........3051..........9290

.1..6...27...114.....602.....2659......11843.......54151........248884

.1..9...58...335....2659....18354.....123261......841565.......5796373

.1.13..121..1003...11843...123261....1272060....13167317.....137002955

.1.19..257..3051...54151...841565...13167317...208122448....3292303911

.1.28..545..9290..248884..5796373..137002955..3292303911...79321631051

.1.41.1153.28268.1149368.40206133.1435498461.52389784706.1920625948633

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..312

EXAMPLE

Some solutions for n=6 k=4

..2..2..2..0....0..0..0..0....0..2..2..2....2..2..2..2....0..0..0..0

..2..0..2..2....0..0..0..0....0..2..0..2....2..0..0..2....2..2..2..0

..2..2..0..2....2..2..2..2....2..2..0..2....2..2..2..2....2..0..2..0

..0..2..2..2....2..0..0..2....2..0..0..2....0..0..0..0....2..0..2..2

..0..0..0..0....2..2..0..2....2..2..0..2....0..0..0..0....2..2..0..2

..0..0..0..0....0..2..2..2....0..2..2..2....0..0..0..0....0..2..2..2

CROSSREFS

Column 2 is A000930(n+1)

Sequence in context: A171699 A104878 A196863 * A135597 A169945 A073134

Adjacent sequences:  A196919 A196920 A196921 * A196923 A196924 A196925

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 07 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 March 19 13:08 EDT 2019. Contains 321330 sequences. (Running on oeis4.)