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A183049 Array of least knight's moves to points (n,0), (n-1,1), ..., (1,n-1) on infinite chessboard. 1
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, 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, 6, 6, 6, 4, 4, 4, 4, 4, 6, 6, 6, 7, 7, 7, 5, 5, 5, 5, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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.

LINKS

Table of n, a(n) for n=1..87.

FORMULA

See A065775.

EXAMPLE

First 6 rows (after the initial 0):

3

2 2

3 1 1

2 2 4 2

3 3 3 3 3

4 4 2 2 2 4

These numbers occupy positions on the chessboard as

indicated here, starting at the left bottom corner:

..4

..3 4

..2 3 2

..1 4 3 2

..2 1 2 3 4

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

CROSSREFS

Cf. A065775, A183050, A183051.

Sequence in context: A133882 A092106 A278885 * A178086 A281977 A240666

Adjacent sequences:  A183046 A183047 A183048 * A183050 A183051 A183052

KEYWORD

nonn,tabf

AUTHOR

Clark Kimberling, Dec 22 2010

STATUS

approved

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Last modified May 29 21:28 EDT 2017. Contains 287257 sequences.