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A323809 Squares visited by a knight on a spirally numbered board and moving to the lowest available unvisited square at each step and if no unvisited squares are available move one step back. 5
0, 9, 2, 5, 8, 3, 6, 1, 4, 7, 10, 13, 28, 31, 14, 11, 26, 23, 44, 19, 22, 43, 40, 17, 34, 37, 18, 15, 32, 29, 52, 25, 46, 21, 42, 69, 20, 39, 16, 33, 12, 27, 24, 45, 74, 41, 68, 103, 36, 61, 94, 57, 54, 85, 50, 47, 76, 113, 72, 107, 150, 67, 102, 63, 66, 35, 38, 65, 62 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Board is numbered with the square spiral:

  16--15--14--13--12

   |               |

  17   4---3---2  11   .

   |   |       |   |

  18   5   0---1  10   .

   |   |           |

  19   6---7---8---9   .

   |

  20--21--22--23--24--25

Coincides with A316328 for the first 2016 terms. - N. J. A. Sloane, Jan 29 2019

LINKS

Daniël Karssen, Table of n, a(n) for n = 0..99999

Daniël Karssen, Figure showing the first 1e5 steps of the sequence

CROSSREFS

The sequences involved in this set of related sequences are A316588, A316328, A316334, A316667, A323808, A323809, A323810, and A323811.

Sequence in context: A082831 A085551 A316328 * A275967 A155799 A021112

Adjacent sequences:  A323806 A323807 A323808 * A323810 A323811 A323812

KEYWORD

nonn

AUTHOR

Daniël Karssen, Jan 28 2019

STATUS

approved

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Last modified October 20 18:19 EDT 2019. Contains 328269 sequences. (Running on oeis4.)