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A346127 Numbers m such that no self-avoiding walk that can make turns from the set +-Pi/7, +-3*Pi/7, +-5*Pi/7, of length m + 1 fits into the smallest circle that can enclose a walk of length m. 2

%I #5 Aug 03 2021 12:29:22

%S 1,2,3,5,7,8,9,10,11,12,14,15,16,17,18,19,20,21,23,24,25,26,28,29,30,

%T 31,35,37,38,39,40,41,42,43,45,47,48

%N Numbers m such that no self-avoiding walk that can make turns from the set +-Pi/7, +-3*Pi/7, +-5*Pi/7, of length m + 1 fits into the smallest circle that can enclose a walk of length m.

%C Although closed walks (see A316197) would be allowed, no closed walk that fits into a smaller enclosing circle than any open walk of the same length is known.

%H Hugo Pfoertner, <a href="http://www.randomwalk.de/sequences/a346127.htm">Examples of paths of maximum length</a>.

%e See link for illustrations of terms corresponding to diameters D < 4.126.

%Y Cf. A127399, A127400, A127401, A306177, A316197.

%Y Cf. A346123-A346132 similar to this sequence with other sets of turning angles.

%K nonn,walk,more

%O 1,2

%A _Hugo Pfoertner_ and _Markus Sigg_, Aug 01 2021

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Last modified May 7 09:38 EDT 2024. Contains 372302 sequences. (Running on oeis4.)