[seqfan] A076884

Harvey P. Dale hpd at hpdale.org
Sat Oct 13 15:11:35 CEST 2012


	Is the definition of the above sequence correct?  It seems to simplify so that each term is simply the prior term, but that does not, of course, produce the terms of the sequence.
	Best,
	Harvey
 

-----Original Message-----
From: SeqFan [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of David Wilson
Sent: Friday, October 12, 2012 7:46 PM
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Another approximation of pi

On 10/2/2012 6:21 PM, Alonso Del Arte wrote:
> As far as I know, our own Daniel Forgues is the first to notice that
> sqrt(9.87654321) = 3.1426968... which is about as good an 
> approximation of pi as 22/7. For some Sequences of the Day in 
> September, to suggest that a keyword:cons sequence ought to be chosen, 
> I put in the number 9.87654321 purely as a placeholder. To my pleasant 
> surprise, Dan added his observation to the September 30 entry.
>
> Al
>
Hence pi ~= sqrt(9.87654321) ~= sqrt(200/81) = 20 sqrt(2) / 9.

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