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

1,2

Comments

The path begins:

.

...31

|

17 16--15 14--13 30

| | |

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

| | |

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

| |

20 7---8 9--10 27

| |

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.

Sequence in context: A035047 A347335 A348672 * A037323 A065812 A081350

Adjacent sequences: A334616 A334617 A334618 * A334620 A334621 A334622

Keyword

nonn

Author

Mohammed Yaseen, Sep 09 2020

Status

approved