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A317106 Squares visited by a (1,3)-leaper on a spirally numbered board and moving to the lowest available unvisited square at each step. 14
1, 27, 13, 5, 11, 7, 15, 9, 19, 3, 17, 33, 55, 85, 25, 29, 51, 47, 21, 39, 63, 95, 57, 87, 125, 49, 23, 41, 67, 35, 59, 89, 53, 31, 61, 37, 69, 43, 77, 113, 71, 45, 73, 107, 149, 101, 141, 189, 135, 181, 129, 91, 137, 97, 65, 105, 147, 99, 139, 93, 131, 177, 231 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Board is numbered with the square spiral:

.

  17--16--15--14--13

   |               |

  18   5---4---3  12   .

   |   |       |   |

  19   6   1---2  11   .

   |   |           |

  20   7---8---9--10   .

   |

  21--22--23--24--25--26

.

The sequence is finite: at step 3723, square 7081 is visited, after which there are no unvisited squares within one move.

LINKS

Daniël Karssen, Table of n, a(n) for n = 1..3723

Daniël Karssen, Figure showing the first 46 steps of the sequence

Daniël Karssen, Figure showing the complete sequence

FORMULA

a(n) = A317105(n-1) + 1.

CROSSREFS

Cf. A317105, A317108.

Sequence in context: A103948 A323835 A040705 * A033347 A173896 A271450

Adjacent sequences:  A317103 A317104 A317105 * A317107 A317108 A317109

KEYWORD

nonn,fini,full

AUTHOR

Daniël Karssen, Jul 24 2018

STATUS

approved

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Last modified June 19 04:44 EDT 2019. Contains 324217 sequences. (Running on oeis4.)