[seqfan] A079353

[israel at math.ubc.ca]

The data in this sequence don't seem to fit the definition:

         Numbers n such that the best rational approximation to H(n) with 
denominator <=n is an integer, where H(n) denotes the n-th harmonic number

The given data are 

 	1, 3, 4, 10, 11, 30, 31, 82, 83, 226, 227, 615, 616, 1673, 1674

For example, how does 10 fit in? H(10) = 7381/2520, and the best 
approximation with denominator <= 10 is 29/10, which is not an integer. 
Similarly, I don't see how 31, 82, 227, 616, or 1674 fit the definition, as 
according to my computations the best approximations in these cases are 
125/31, 409/82, 1363/227, 4313/616, 13393/1674.

Cheers,
Robert