# [seqfan] Re: What is A179954?

Charles Greathouse charles.greathouse at case.edu
Fri Sep 9 09:29:01 CEST 2011

```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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```

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