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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A196786 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 2,4,3,0,1 for x=0,1,2,3,4 7
1, 1, 1, 1, 1, 1, 1, 3, 3, 1, 1, 7, 17, 7, 1, 1, 17, 39, 39, 17, 1, 1, 41, 135, 145, 135, 41, 1, 1, 99, 427, 797, 797, 427, 99, 1, 1, 239, 1351, 3569, 6137, 3569, 1351, 239, 1, 1, 577, 4319, 17175, 40749, 40749, 17175, 4319, 577, 1, 1, 1393, 13715, 81389, 289761, 404589 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,8

COMMENTS

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

Table starts

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

.1....1.....3.......7.......17.........41...........99............239

.1....3....17......39......135........427.........1351...........4319

.1....7....39.....145......797.......3569........17175..........81389

.1...17...135.....797.....6137......40749.......289761........2025511

.1...41...427....3569....40749.....404589......4216301.......43457133

.1...99..1351...17175...289761....4216301.....65282256......993629439

.1..239..4319...81389..2025511...43457133....993629439....22331701461

.1..577.13715..385231.14215709..448071435..15177736646...503549631381

.1.1393.43607.1829101.99646153.4621262139.231779144185.11344988022025

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..264

EXAMPLE

Some solutions for n=6 k=4

..0..0..0..0....0..0..0..0....0..0..0..0....0..0..0..0....0..0..3..0

..0..3..0..0....0..3..0..3....0..3..0..3....3..0..3..0....0..0..0..3

..0..3..0..0....0..3..0..0....0..3..0..0....0..0..3..0....0..0..3..0

..3..0..0..0....3..0..0..0....0..0..0..0....3..0..0..0....0..0..3..0

..0..0..0..3....0..0..0..3....0..0..0..3....0..0..0..0....0..0..0..3

..0..3..0..0....0..3..0..0....0..0..3..0....0..0..0..0....0..0..0..0

CROSSREFS

Column 2 is A001333(n-1)

Sequence in context: A196578 A196809 A101842 * A196746 A196904 A197373

Adjacent sequences:  A196783 A196784 A196785 * A196787 A196788 A196789

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Oct 06 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 October 16 09:02 EDT 2021. Contains 348041 sequences. (Running on oeis4.)