Evaluation of Harmonic Number Series Involving the Binomial Coefficient $C(3n, N)$ in the Denominator by Integration

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Abstract

Two classes of infinite series involving harmonic numbers and the binomial coefficient $C(3n,n)$ are evaluated in closed form using integrals. Several remarkable integral values and difficult series identities are stated as special cases of the main results.

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last seen: 2026-05-19T01:45:01.086888+00:00