i don't know about a sum that equals 3/5, but there are the following sums of harmonic numbers that unexpectedly sum to 2 and 6: http://www.math.ubc.ca/~gerg/papers/downloads/recsum2.pdf http://www.math.ubc.ca/~gerg/papers/downloads/recsum6.pdf bob baillie --- Dan Asimov wrote:
A few years ago I read in some math journal that a certain sum of reciprocal integer powers has an unexpectedly simple sum -- I think it was 3/5.
But I can't find the article or a reference to this fact. So I don't know just which reciprocal integer powers are being summed (or whether 3/5 is right).
Can anyone give me a pointer to this result?
Thanks,
Dan
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