[seqfan] Re: Rounding in A075465

[israel at math.ubc.ca]

Harvey:
Would you mind making that modification to your existing Mathematica 
code in A075465?
Cheers,
Robert

On Oct 2 2015, Harvey P. Dale wrote:

>        It may be of some passing interest that Mathematica's "Round" 
> function does not always round down in the case of a tie. Instead, the 
> documentation says that "Round rounds numbers of the form x.5 toward the 
> nearest even integer." That means (1) that Mathematica rounds up or down, 
> in the case of a tie, to whichever is the nearest even integer, and (2) 
> that if one wants to control the rounding in Mathematica to be consistent 
> one has to write a separate function to do it correctly. Best, Harvey
> 
>
> -----Original Message----- From: SeqFan 
> [mailto:seqfan-bounces at list.seqfan.eu] On Behalf Of Neil Sloane Sent: 
> Friday, October 2, 2015 8:08 AM To: Sequence Fanatics Discussion list 
> <seqfan at list.seqfan.eu> Subject: [seqfan] Re: Rounding in A075465
>
>Unless Zak responds otherwise, I suggest we add a comment saying:
>
>In case of a tie, round down.
>
>That is consistent with the data, and is the usual convention anyway.
>
>Best regards
>Neil
>
>Neil J. A. Sloane, President, OEIS Foundation.
>11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
>Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
>Phone: 732 828 6098; home page: http://NeilSloane.com
>Email: njasloane at gmail.com
>
>
>On Fri, Oct 2, 2015 at 2:55 AM, <israel at math.ubc.ca> wrote:
>
>> A075465 is "Rounded average of first n primes", but nowhere does it 
>> say what type of rounding is used in case of a tie (i.e. when the 
>> actual average is half an odd integer). Since the Data gives a(2) = 2, 
>> 5/2 is being rounded to 2 rather than 3. That could indicate that ties 
>> are rounded down, or that ties are rounded to the nearest even 
>> integer. The next places the issue will arise in this sequence are 
>> a(1810) (which could be 7265 or
>> 7266) and and a(2458) (10285 or 10286).
>>
>> Cheers, Robert
>>
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