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A183051
Array of least knight's moves to points on the square |i|+|j|=n on infinite chessboard.
4
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
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
KEYWORD
nonn,tabf
AUTHOR
Clark Kimberling, Dec 22 2010
STATUS
approved