A317416 Squares visited by a (1,4)-leaper on a spirally numbered board and moving to the lowest available unvisited square at each step, squares labelled >=1.

1, 52, 23, 14, 25, 20, 11, 18, 13, 24, 15, 22, 17, 12, 19, 10, 21, 16, 29, 6, 27, 32, 9, 34, 7, 26, 45, 4, 47, 42, 67, 108, 149, 36, 41, 2, 39, 44, 5, 28, 57, 86, 3, 38, 33, 8, 35, 30, 51, 46, 71, 104, 143, 96, 65, 40, 63, 94, 131, 176, 123, 48, 75, 118, 161, 156, 107, 66

Offset: 1

Author

Daniël Karssen, Jul 27 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

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The sequence is finite: at step 13103, square 10847 is visited, after which there are no unvisited squares within one move.

Links

• Daniël Karssen, Table of n, a(n) for n = 1..13103
• Daniël Karssen, Figure showing the first 58 steps of the sequence
• Daniël Karssen, Figure showing the complete sequence

Crossrefs

Cf. A317415, A317418.

Formula

a(n) = A317415(n-1) + 1.