Abstract. We introduce a dyadic-moment closure technique for the inverse binomial sum Uₙ = Σ₊=₀ⁿ binom (n, k) ^-1. Starting from a beta-function integral representation, we derive an exact closed form, a canonical dyadic operator, a closed ordinary generating function, and a complete two-scale asymptotic tower with explicit rational coefficients. The framework extends naturally to parametric deformations Uₙ (α), yielding new exact identities and certified approximations. This operator-theoretic approach unifies and surpasses standard methods for reciprocal combinatorial sums.
Salomon Emmanuel Audigé Youmbi (Tue,) studied this question.