A317916 Squares visited by a (2,5)-leaper on a spirally numbered board and moving to the lowest available unvisited square at each step, squares labelled >=1.

1, 84, 31, 18, 27, 44, 15, 48, 41, 12, 37, 22, 33, 26, 19, 30, 47, 16, 43, 10, 39, 32, 23, 36, 29, 20, 49, 14, 45, 38, 11, 42, 35, 24, 69, 98, 187, 88, 61, 104, 193, 94, 53, 118, 173, 286, 163, 82, 177, 134, 249, 144, 203, 110, 345, 216, 71, 2, 67, 60, 7, 50, 13, 40

Offset: 1

Author

Daniël Karssen, Aug 11 2018

Keywords

• nonn
• fini
• full

Comments

Board is numbered with the square spiral:

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

The sequence is finite: at step 7574, square 6760 is visited, after which there are no unvisited squares within one move.

Links

• Daniël Karssen, Table of n, a(n) for n = 1..7574
• Daniël Karssen, Figure showing the first 35 steps of the sequence
• Daniël Karssen, Figure showing the complete sequence

Crossrefs

Cf. A317915, A317918.

Formula

a(n) = A317915(n-1) + 1.