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A323763
Squares visited by gnu (A.K.A. wildebeest; (1,2)+(1,3)-leaper chess piece) moves on a spirally numbered board and moving to the lowest available unvisited square at each step.
0
1, 10, 3, 6, 9, 4, 7, 2, 5, 8, 11, 14, 18, 15, 12, 16, 19, 22, 41, 17, 33, 30, 34, 13, 27, 23, 20, 24, 44, 40, 21, 39, 36, 60, 31, 53, 26, 46, 25, 28, 32, 29, 51, 47, 75, 42, 45, 71, 74, 70, 38, 35, 59, 56, 86, 50, 78, 49, 52, 80, 83, 79, 115, 73, 107, 67, 64
OFFSET
1,2
COMMENTS
In fairy chess the (1,2)+(1,3)-leaper is called a Gnu. - Vaclav Kotesovec, Jan 28 2019
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
.
This sequence is finite: At step 12899744968 square 12851850258 is visited, after which there are no unvisited squares within one move.
CROSSREFS
Sequence in context: A167764 A241887 A182493 * A316667 A329518 A329519
KEYWORD
nonn,fini
AUTHOR
Jonathan Allan, Jan 26 2019
STATUS
approved