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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.

%I A334619 #29 Feb 22 2021 13:28:52
%S A334619 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,
%T A334619 35,36,17,38,39,68,69,40,41,20,21,22,45,46,77,78,47,48,25,26,27,52,53,
%U A334619 86,87,54,55,30,31,32,59,60,95,96,139,140,97,98,63,64,37
%N 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.
%C A334619 The path begins:
%C A334619 .
%C A334619                    ...31
%C A334619                |
%C A334619   17  16--15  14--13  30
%C A334619        |   |       |
%C A334619   18---5   4---3  12--29
%C A334619    |           |       |
%C A334619   19---6   1---2  11--28
%C A334619        |           |
%C A334619   20   7---8   9--10  27
%C A334619            |   |
%C A334619   21  22  23--24  25  26
%C A334619 .
%C A334619 This infinite sequence visits every number on the board sooner or later.
%H A334619 Kevin Ryde, <a href="/A334619/b334619.txt">Table of n, a(n) for n = 1..10000</a>
%H A334619 <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%Y A334619 Cf. A316667.
%K A334619 nonn
%O A334619 1,2
%A A334619 _Mohammed Yaseen_, Sep 09 2020