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.

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

Author

Jonathan Allan, Jan 26 2019

Keywords

• nonn
• fini

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:

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17--16--15--14--13

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18 5---4---3 12 .

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19 6 1---2 11 .

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20 7---8---9--10 .

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21--22--23--24--25--26

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This sequence is finite: At step 12899744968 square 12851850258 is visited, after which there are no unvisited squares within one move.

Links

• Wikipedia, Fairy chess piece
• Wikipedia, Wildebeest Chess

Crossrefs

Cf. A316667, A317106.