A068609 Path of a knight's tour on an infinite chessboard.

1, 14, 5, 20, 23, 10, 3, 16, 19, 22, 9, 12, 15, 18, 7, 24, 11, 4, 17, 6, 21, 8, 25, 2, 13, 58, 33, 62, 37, 68, 41, 72, 75, 46, 79, 50, 27, 54, 31, 60, 35, 64, 67, 40, 71, 74, 45, 78, 49, 52, 29, 56, 59, 34, 63, 66, 39, 70, 43, 76

Offset: 0

Author

Hans Secelle and Albrecht Heeffer (albrecht.heeffer(AT)pandora.be), Mar 09 2002

Keywords

• nonn

Comments

One of eight possible knight's tours. Squares are numbered in a clockwise spiral. Enumerates all positive integers.

Links

• Hugo Pfoertner, Table of n, a(n) for n = 0..1088 [Offset adapted by _Georg Fischer_, Jun 04 2019]
• Frank Ellermann, Sequences based on a spiral of the natural numbers

Crossrefs

Cf. A068608, A068610, A068611, A068612, A068613, A068614, A068615.

Extensions

a(56), which had been shown as 37, corrected to 39 by Kevin Ryde, Jan 17 2012