Hello , is it what you mean ? See sequences : http://oeis.org/A158624 and : https://oeis.org/A023415 These are the limit values of 5^n and 2^n backward. Simon Plouffe and sequence Le dim. 28 juil. 2019 à 22:58, Victor Miller <victorsmiller@gmail.com> a écrit :
What your friend observed is essentially a consequence of Weyl’s theorem: Let alpha be irrational, then the sequence n alpha mod 1 is dense in the interval [0,1]. Since log 2/log 10 is irrational, this applies.
Victor
On Fri, Jul 26, 2019 at 09:12 Colin Wright <maths@solipsys.co.uk> wrote:
Here's a small thing that a friend of mine discovered:
https://www.solipsys.co.uk/new/PowersOfTwoInLexOrder.html?sg26mf
Surely this has been seen before, but I can't find any kinds of references to it. If anyone can suggest some references I'd be grateful.
Thanks.
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