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A317416 Squares visited by a (1,4)-leaper on a spirally numbered board and moving to the lowest available unvisited square at each step. 13
1, 52, 23, 14, 25, 20, 11, 18, 13, 24, 15, 22, 17, 12, 19, 10, 21, 16, 29, 6, 27, 32, 9, 34, 7, 26, 45, 4, 47, 42, 67, 108, 149, 36, 41, 2, 39, 44, 5, 28, 57, 86, 3, 38, 33, 8, 35, 30, 51, 46, 71, 104, 143, 96, 65, 40, 63, 94, 131, 176, 123, 48, 75, 118, 161, 156, 107, 66 (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 13103, square 10847 is visited, after which there are no unvisited squares within one move.

LINKS

Daniël Karssen, Table of n, a(n) for n = 1..13103

Daniël Karssen, Figure showing the first 58 steps of the sequence

Daniël Karssen, Figure showing the complete sequence

FORMULA

a(n) = A317415(n-1) + 1.

CROSSREFS

Cf. A317415, A317418.

Sequence in context: A100990 A298573 A048365 * A033372 A126767 A143723

Adjacent sequences:  A317413 A317414 A317415 * A317417 A317418 A317419

KEYWORD

nonn,fini,full

AUTHOR

Daniël Karssen, Jul 27 2018

STATUS

approved

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Last modified October 18 13:31 EDT 2019. Contains 328161 sequences. (Running on oeis4.)