Hammad's Triangle : A Unified Framework for Accelerating Zeta Function Series with Examples for zeta(3)$ and zeta(9)

Hammad's Triangle is a telescoping method that generates accelerated series for Riemann zeta values from basic partial fractions. We apply it to derive new fast-converging formulas for ζ(3) and ζ(9). The framework unifies known results for even zeta values and gives elementary computational tools for odd zeta values. Verified numerically to 20 decimal places..