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Mathematica Teacher's Edition

Built-in Functions

Mathematical Functions

Combinatorial

HarmonicNumber

HarmonicNumber[n] gives the n harmonic number .
HarmonicNumber[n, r] gives the harmonic number of order .

Mathematical function (see Section A.3.10).
The harmonic numbers are given by with .
See The Mathematica Book on the web: Section 3.2.5.
See also: Zeta, Log.

Further Examples