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!)
A196493 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 2,3,0,1,4 for x=0,1,2,3,4 7

%I #5 Mar 31 2012 12:36:26

%S 1,1,1,1,1,1,1,3,3,1,1,5,9,5,1,1,9,23,23,9,1,1,17,69,99,69,17,1,1,31,

%T 199,435,435,199,31,1,1,57,553,1821,2862,1821,553,57,1,1,105,1563,

%U 7761,18661,18661,7761,1563,105,1,1,193,4439,33445,123151,188603,123151,33445,4439

%N 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 2,3,0,1,4 for x=0,1,2,3,4

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

%C Table starts

%C .1...1.....1......1........1..........1............1.............1

%C .1...1.....3......5........9.........17...........31............57

%C .1...3.....9.....23.......69........199..........553..........1563

%C .1...5....23.....99......435.......1821.........7761.........33445

%C .1...9....69....435.....2862......18661.......123151........806609

%C .1..17...199...1821....18661.....188603......1875863......18685389

%C .1..31...553...7761...123151....1875863.....28338246.....434666223

%C .1..57..1563..33445...806609...18685389....434666223...10179007465

%C .1.105..4439.142899..5276054..187248247...6656162368..237074284215

%C .1.193.12591.610111.34627688.1876363069.101518856651.5528402854617

%H R. H. Hardin, <a href="/A196493/b196493.txt">Table of n, a(n) for n = 1..312</a>

%e Some solutions for n=6 k=4

%e ..0..0..0..1....0..1..0..0....0..0..0..0....0..0..1..0....0..1..0..0

%e ..0..1..1..3....1..3..1..0....1..3..1..0....0..0..3..1....1..3..1..0

%e ..1..3..1..1....0..0..0..0....0..1..0..0....0..0..1..0....1..0..0..0

%e ..1..3..1..0....1..3..1..1....1..0..0..0....1..3..1..0....3..1..0..1

%e ..0..1..0..0....0..1..1..3....3..1..0..0....0..1..1..0....1..0..1..3

%e ..0..0..0..0....0..0..0..1....1..0..0..0....0..1..3..1....0..0..0..1

%Y Column 2 is A000213

%K nonn,tabl

%O 1,8

%A _R. H. Hardin_ Oct 03 2011

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 March 29 00:26 EDT 2024. Contains 371264 sequences. (Running on oeis4.)