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

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, 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, 4, 2, 2, 2, 4, 4, 4, 2, 2, 2, 4, 4, 4, 2, 2, 2, 4, 5, 3, 3, 3, 3, 3, 3

Offset

1,2

Links

Table of n, a(n) for n=1..92.

Formula

See A065775.

Example

Top 5 rows:
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 2 4 2 2 2 4 2
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:
....2
..2.3.2
2.3.0.3.2
..2.3.2
....2

Crossrefs

Cf. A065775, A183050, A183053.

Sequence in context: A138070 A081334 A106694 * A031355 A337265 A177228

Adjacent sequences: A183048 A183049 A183050 * A183052 A183053 A183054

Keyword

nonn,tabf

Author

Clark Kimberling, Dec 22 2010

Status

approved