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

Author

Neal Gersh Tolunsky, Jan 06 2023

Keywords

• nonn

Comments

A princess can move like a bishop or a knight.

Examples

			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
		

Links

• Neal Gersh Tolunsky, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A316667, A316884.