A135611

[Artur]

Dear Seqfans,
About two years ago I was submitted polynomial sequence when was 
obtained agreement with  Pi  to 62 digits after comma.
Unfortunatelly Neil cancelled these as too artificial.
BEST WISHES
ARTUR


Alexander Povolotsky pisze:
> below is even better ;-)
>
> (11:44) gp > solve(x=3,4,sqrt(exp(1)-x/2) + sqrt(exp(1)+x/2) -x)
> %11 = 3.142153292542580733700683505
>
> 2008/3/5 Alexander Povolotsky <apovolot at gmail.com>:
>   
>> By the way is below known/interesting ?
>>
>>  sqrt(e-Pi/2) + sqrt(e+Pi/2) ~= 3.142216467362486483529141519 ~= Pi
>>
>>  gp > sqrt(exp(1)-Pi/2) + sqrt(exp(1)+Pi/2)
>>  = 3.142216467362486483529141519
>>
>>  At least it gives better approximation of Pi than
>>
>>  sqrt(2) + sqrt(3) ~=  3.146264369941972342329135...
>>
>>  Alexander R. Povolotsky
>>
>>     
>
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