

A183049


Array of least knight's moves to points (n,0), (n1,1), ..., (1,n1) 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
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OFFSET

1,2


COMMENTS

The n points (n,0), (n1,1), ..., (1,n1) 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



