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A183051 Array of least knight's moves to points on the square |i|+|j|=n on infinite chessboard. 4

%I #4 Mar 30 2012 18:57:12

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

%T 2,4,2,2,2,4,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,2,2,2,4,4,

%U 4,2,2,2,4,4,4,2,2,2,4,4,4,2,2,2,4,5,3,3,3,3,3,3

%N Array of least knight's moves to points on the square |i|+|j|=n on infinite chessboard.

%F See A065775.

%e Top 5 rows:

%e 0

%e 3 3 3 3

%e 2 2 2 2 2 2 2 2

%e 3 1 1 3 1 1 3 1 1 3 1 1

%e 2 2 4 2 2 2 4 2 2 2 4 2 2 2 4 2

%e Row n has 4n numbers which form a square of points (i.e., unit squares) on an infinite chessboard. The first 3 of these concentric squares are represented as follows:

%e ....2

%e ..2.3.2

%e 2.3.0.3.2

%e ..2.3.2

%e ....2

%Y Cf. A065775, A183050, A183053.

%K nonn,tabf

%O 1,2

%A _Clark Kimberling_, Dec 22 2010

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Last modified August 12 03:31 EDT 2024. Contains 375085 sequences. (Running on oeis4.)