[seqfan] Re: Puzzle of David Wilson

[Bob Selcoe]

Hello again,

>From my previous post

>>>R_(1-9/11) = 11/2 = 121/22.   9/11 = 18/22.   121 mod 18 = 15.
>>> R_(15/22) = 22/15 = 242/165.   9/11 = 135/165.   242 mod 135 = 107.
>>>R_(107/165) = 165/107 = 1815/1177.  9/11 = 963/1177.   1815 mod 963 = 
>>>852.
etc.

Ugh. Obviously 121 mod 18 = 13.  So the chain continues:

R_(13/22) = 22/13 = 242/143.   9/11 = 117/143.   242 mod 117 = 8.
R_(8/143) = 143/8 = 1573/88.  9/11 = 72/88.   1573 mod 72 = 61.
etc.

Fortunately, the error doesn't affect the overall approach; i.e., continuing 
the chain to 2/11.

Best Wishes,
Bob S.


--------------------------------------------------
From: "Matthijs Coster" <seqfan at matcos.nl>
Sent: Wednesday, January 28, 2015 7:59 AM
To: "_Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Puzzle of David Wilson

> LS,
>
> For everybody who is interested in the puzzle of David Wilson (z -> z + 
> kr, or z -> 1/z).
> I wrote a paper with my results.
> See: http://www.matcos.nl/sequences/SeqFanPuzzle.pdf.
>
> Please send me your commands!
>
> Best regards,
>
> --Matthijs
>
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>