[seqfan] Re: about 10000 numbers, a certain document from M.I. Shamos.

Simon Plouffe simon.plouffe at gmail.com
Fri Sep 9 00:37:14 CEST 2011



Hello,

  I extracted 9129 values from the pdf and I am testing
those values.

  You are right, there are some errors in the table ...
  nevertheless, I find this document quite valuable.

  Best regards,
  Simon PLOUFFE


Le 09/sept./2011 00:32, Robert Gerbicz a écrit :
> 2011/9/8 Simon Plouffe<simon.plouffe at gmail.com>
>
>>
>>   One word : wOW!,
>>
>>   now, that's interesting!,
>>
>>   Neil, would you agree that we should include these
>> entries into the OEIS ?
>>
>>
> There are some errors in the table, say for the first non-integer entry in
> the table on page 26: 1.00000027557319224027 ~ sum(k=1,infinity,1/(10k)!)
> which is clearly false. The eighth non-integer entry is also broken on the
> same page.
>
> On page 31 the author does not recognize, that 1/480 is a rational number
> and has got a period less than 18 (see the Format of Numbers section from
> the book).
>
> On page 42 the first line is: .00695.. and you see a quite complicated
> arctan formula. But no reference, no other expression or sum or integral
> explaining why this is interesting. Without these the value of this real
> number is zero.
>
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