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A308312 a(n) is the last square visited by knight moves on a spirally numbered (2n-1) X (2n-1) board, moving to the lowest available unvisited square at each step. 1
1, 1, 14, 30, 69, 108, 150, 205, 264, 333, 408, 475, 553, 659, 763, 881, 1004, 1134, 1274, 1418, 1641, 1811, 1986, 2167, 2358, 2557, 2633, 2978, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084, 2084 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

A 5 X 5 board, for example, is numbered with the square spiral:

.

  21--22--23--24--25

   |

  20   7---8---9--10

   |   |           |

  19   6   1---2  11

   |   |       |   |

  18   5---4---3  12

   |               |

  17--16--15--14--13

.

a(n) stays constant at 2084 for (2n-1) >= 57 since 2084 is also the last square visited by knight moves on a spirally numbered doubly infinite board, moving to the lowest available unvisited square at each step.

LINKS

Table of n, a(n) for n=1..47.

CROSSREFS

Cf. A316667.

Sequence in context: A083540 A027575 A104776 * A101960 A075208 A228124

Adjacent sequences:  A308309 A308310 A308311 * A308313 A308314 A308315

KEYWORD

nonn

AUTHOR

Sangeet Paul, May 19 2019

STATUS

approved

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Last modified October 22 06:54 EDT 2019. Contains 328315 sequences. (Running on oeis4.)