[seqfan] Re: What is A179954?

Alonso Del Arte alonso.delarte at gmail.com
Fri Sep 9 06:42:52 CEST 2011

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."


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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