[seqfan] Re: A076884

[israel at math.ubc.ca]

It seems to me that according to the definition, a(2) should be 3, not 2:
u(0) = 1                         
u(1) = Pi*floor(u(0)) = Pi,        a(1) = 1
u(2) = Pi*floor(u(1)) = 3*Pi,      a(2) = 3
u(3) = Pi*floor(u(2)) = 9*Pi,      a(3) = 9

Robert Israel
University of British Columbia

On Oct 15 2012, Harvey P. Dale wrote:

>        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.
>
>_______________________________________________
>
>Seqfan Mailing list - http://list.seqfan.eu/
>
>
>
>_______________________________________________
>
>Seqfan Mailing list - http://list.seqfan.eu/
>