[seqfan] Re: Initial Digits of Ternary Pi

Robert G. Wilson v rgwv at rgwv.com
Mon Nov 28 01:59:08 CET 2016


I looked at the first 10^8 ternary digits and found no more terms.

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Hans Havermann
Sent: Sunday, November 27, 2016 12:00 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Initial Digits of Ternary Pi

The number of initial digits of ternary pi where the digits 0, 1, and 2 appear exactly the same number of times: 15, 18, ... This is a base-3 version of the base-2 A039624. Only the two terms are known but I believe the sequence might be worthwhile (because it might be infinite). The basis for that belief rests on modeling the digits as a walk on a 2-dimensional Cartesian plane (the binary version is connected to a walk on a 1-dimensional number line, A166006). It is my understanding that 2-dimensional random walks are recurrent. For the actual implementation of the walk, see:

http://gladhoboexpress.blogspot.ca/2016/11/a-walk-in-base-three-pi.html

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