  We extend the Reed Dawson identity for Knuth's old sum with a complex
parameter, and we offer two separate hypergeometric series-based proofs of this
generalization, and we apply this generalization to introduce binomial-harmonic
sum identities. We also provide another ${}_{2}F_{1}(2)$-generalization of the
Reed Dawson identity involving a free parameter. We then apply Fourier-Legendre
theory to obtain an identity involving odd harmonic numbers that resembles the
formula for Knuth's old sum, and the modified Abel lemma on summation by parts
is also applied.
