The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A183049 Array of least knight's moves to points (n,0), (n-1,1), ..., (1,n-1) on infinite chessboard. 1

%I #6 Mar 30 2012 18:57:12

%S 0,3,2,2,3,1,1,2,2,4,2,3,3,3,3,3,4,4,2,2,2,4,5,3,3,3,3,3,3,4,4,4,4,4,

%T 4,4,4,5,5,5,3,3,3,3,5,5,6,6,4,4,4,4,4,4,4,6,7,5,5,5,5,5,5,5,5,5,5,6,

%U 6,6,6,4,4,4,4,4,6,6,6,7,7,7,5,5,5,5,5

%N Array of least knight's moves to points (n,0), (n-1,1), ..., (1,n-1) on infinite chessboard.

%C The n points (n,0), (n-1,1), ..., (1,n-1) lie in a diagonal in the first quadrant. Adjoining the matching points in the other quadrants yields the square |i|+|j|=n, as in A183051. For a description of the infinite chessboard, see A065775.

%F See A065775.

%e First 6 rows (after the initial 0):

%e 3

%e 2 2

%e 3 1 1

%e 2 2 4 2

%e 3 3 3 3 3

%e 4 4 2 2 2 4

%e These numbers occupy positions on the chessboard as

%e indicated here, starting at the left bottom corner:

%e ..4

%e ..3 4

%e ..2 3 2

%e ..1 4 3 2

%e ..2 1 2 3 4

%e 0 3 2 3 2 3 4 ... (This row is A018837.)

%Y Cf. A065775, A183050, A183051.

%K nonn,tabf

%O 1,2

%A _Clark Kimberling_, Dec 22 2010

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 May 18 23:43 EDT 2024. Contains 372666 sequences. (Running on oeis4.)