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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.
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%I #23 Feb 04 2019 08:36:03

%S 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,

%T 20,24,44,40,21,39,36,60,31,53,26,46,25,28,32,29,51,47,75,42,45,71,74,

%U 70,38,35,59,56,86,50,78,49,52,80,83,79,115,73,107,67,64

%N 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.

%C In fairy chess the (1,2)+(1,3)-leaper is called a Gnu. - _Vaclav Kotesovec_, Jan 28 2019

%C Board is numbered with the square spiral:

%C .

%C 17--16--15--14--13

%C | |

%C 18 5---4---3 12 .

%C | | | |

%C 19 6 1---2 11 .

%C | | |

%C 20 7---8---9--10 .

%C |

%C 21--22--23--24--25--26

%C .

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

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Fairy_chess_piece">Fairy chess piece</a>

%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Wildebeest_Chess">Wildebeest Chess</a>

%Y Cf. A316667, A317106.

%K nonn,fini

%O 1,2

%A _Jonathan Allan_, Jan 26 2019