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

0,2

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.

Sequence in context: A084676 A180848 A331482 * A166208 A367327 A239863

Adjacent sequences: A068606 A068607 A068608 * A068610 A068611 A068612

Keyword

nonn

Author

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

Extensions

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

Status

approved