A359572 Squares visited by a princess moving on a spirally numbered board, always to the lowest available unvisited square.

1, 3, 6, 4, 2, 5, 8, 11, 9, 12, 14, 20, 22, 19, 7, 13, 21, 31, 43, 57, 30, 32, 15, 18, 16, 10, 23, 29, 33, 41, 44, 42, 45, 24, 27, 25, 17, 34, 28, 46, 40, 60, 35, 38, 36, 26, 47, 39, 61, 53, 77, 48, 51, 49, 37, 62, 52, 78, 68, 96, 54, 76, 70, 94, 56, 58, 55, 59, 71, 74, 72, 75, 89, 92, 90, 93, 109, 73, 91, 111, 133, 157, 110

Offset

1,2

Comments

A princess can move like a bishop or a knight.

Links

Table of n, a(n) for n=1..83.

Example

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

Crossrefs

Cf. A316667, A316884.

Sequence in context: A199737 A220397 A021737 * A011307 A243625 A321872

Adjacent sequences: A359569 A359570 A359571 * A359573 A359574 A359575

Keyword

nonn

Author

Neal Gersh Tolunsky, Jan 06 2023

Status

approved