  An algebraic transformation of the DeTemple-Wang half-integer approximation
to the harmonic series produces the general formula and error estimate for the
Ramanujan expansion for the nth harmonic number into negative powers of the nth
triangular number. We also discuss the history of the Ramanujan expansion for
the nth harmonic number as well as sharp estimates of its accuracy, with
complete proofs, and we compare it with other approximative formulas.
