A068612 Path of a knight's tour on an infinite chessboard.

1, 20, 5, 14, 11, 24, 7, 18, 15, 12, 9, 22, 19, 16, 3, 10, 23, 6, 17, 4, 13, 2, 25, 8, 21, 72, 41, 68, 37, 62, 33, 58, 55, 28, 51, 80, 47, 76, 43, 70, 39, 66, 63, 34, 59, 56, 29, 52, 49, 78, 45, 74, 71, 40, 67, 64, 35, 60, 31, 54

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, A068609, A068610, A068611, A068613, A068614, A068615.

Sequence in context: A040386 A309321 A104158 * A233820 A040387 A201137

Adjacent sequences: A068609 A068610 A068611 * A068613 A068614 A068615

Keyword

nonn

Author

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

Status

approved