A334619 Squares visited on a board numbered in counterclockwise square spiral by successively turning to the left square if it is unvisited or to the right square otherwise.

1, 2, 3, 4, 15, 16, 5, 18, 19, 6, 7, 8, 23, 24, 9, 10, 11, 28, 29, 12, 13, 14, 33, 34, 61, 62, 35, 36, 17, 38, 39, 68, 69, 40, 41, 20, 21, 22, 45, 46, 77, 78, 47, 48, 25, 26, 27, 52, 53, 86, 87, 54, 55, 30, 31, 32, 59, 60, 95, 96, 139, 140, 97, 98, 63, 64, 37

Offset: 1

Author

Mohammed Yaseen, Sep 09 2020

Keywords

• nonn

Comments

The path begins:

.

...31

|

17 16--15 14--13 30

| | |

18---5 4---3 12--29

| | |

19---6 1---2 11--28

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20 7---8 9--10 27

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21 22 23--24 25 26

.

This infinite sequence visits every number on the board sooner or later.

Links

• Kevin Ryde, Table of n, a(n) for n = 1..10000
• Index entries for sequences that are permutations of the natural numbers

Crossrefs

Cf. A316667.