The nth harmonic number is defined as the sum of the reciprocals of the integers from 1 to n:
Definition of the harmonic numbers: sum(1/k) from k = 1 to k = n
The first four harmonic numbers are 1, 3/2, 11/6, and 25/12. The harmonic numbers appear in several interesting identities, including this one for Apery's constant:
Relation between zeta(3) and the harmonic numbers
Compute the nth harmonic number.
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