[seqfan] Re: What is A179954?

franktaw at netscape.net franktaw at netscape.net
Fri Sep 9 10:20:28 CEST 2011


I'm a step ahead of you. See the draft edits.

Franklin T. Adams-Watters

-----Original Message-----
From: Charles Greathouse <charles.greathouse at case.edu>

So really the sum should be over A050278, right?

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Fri, Sep 9, 2011 at 12:42 AM, Alonso Del Arte
<alonso.delarte at gmail.com> wrote:
> What I am understanding from Baillie (2008) is this: from A010784, 
you take
> the terms with exactly ten digits. The k should run *not* from 1 to 
3265920,
> but from whatever value indexes 1023456789 in A010784 to whatever 
value
> indexes 9876543210. The sum should therefore be:
>
> 1/1023456789 + 1/1023456798 + ... + 1/9876543210
>
> The thing that makes it clear to me is on page 5 where he writes 
"This means
> the denominators have exactly 10 digits, all distinct."
>
> Al
>
> On Thu, Sep 8, 2011 at 11:23 PM, <franktaw at netscape.net> wrote:
>
>> https://oeis.org/A179954 (      Decimal expansion of the (finite) 
value of
>> the sum_{ k >= 1, k has just one occurrence of any digit in base 10 
} 1/k.)
>> does not match its definition in any way I can see. The example 
claims it to
>> be the sum of the reciprocals of A010784, but even if the 0 in that 
sequence
>> is skipped, that sum would be (considerably) larger than the 10th 
harmonic
>> number, 2.9289..., while A179954 is less than 1/1000.
>>
>> Can anyone tell what this number is supposed to be?
>>
>> Franklin T. Adams-Watters
>>
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>
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