Osogo, N. A.; Simatwo, K. B. On Extension of Existing Results on the Diophantine Equation: \(\sum_{r=1}^n w_r^2+\frac{n}{3} d^2=3\left(\frac{n d^2}{3}+\sum_{r=1}^{\frac{n}{3}} w_{3 R-1}^2\right)\). EJMS 2025, 15, 201-209.