[seqfan] like A004080 but for 1/(2i) and more

David Rabahy DavidRabahy at comcast.net
Tue Jun 23 20:40:13 CEST 2020


Least k such that H2(k) >= n, where H2(k) is the even harmonic number sum_{i=1..k} 1/(2i);
n
1 - 5
2 - 31
3 - 227
4 - 1674
...

Is this worthy of an entry in the OEIS or too trivial?

https://docs.google.com/spreadsheets/d/1GbRABHLdAtFHU0dFDkHqanJYje15L3gbc6RrWzWCnXo

Clearly this idea could be generalized, i.e. where Hq(k) is the qth harmonic number sum_{i=1..k} 1/(qi).

Also, it could be diagonalized;
n
1 - 1
2 - 31
3 - 4550
...



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