Answers are grounded in this paper and cite their sources.
We establish a closed-form identity linking multifactorials and harmonic numbers, suggesting deeper connections in number theory.
We establish a closed-form identity linking ratios of multifactorials to finite weighted sums involving harmonic number differences. This identity unifies factorial and double-factorial cases under a Gamma–Pochhammer framework. The proof relies on Gamma function reductions and a finite hypergeometric summation identity, with digamma reformulations and asymptotic consequences.
No takes yet. Share an insight, caveat, or question.
Florent OUEDRAOGO (2026) studied this question.