Sum-the-series-n-C-1-n-C-0-2-2-n-C-2-n-C-1-3-n-C-3-n-C-2-2-n-terms-

Question Number 59625 by Tawa1 last updated on 12/May/19

Sum the series : {(\frac{\overset{n}{} C_{1}}{\overset{n}{} C_{0}})}^{2} + (2 \times \frac{\overset{n}{} C_{2}}{\overset{n}{} C_{1}}) + {(3 \times \frac{\overset{n}{} C_{3}}{\overset{n}{} C_{2}})}^{2} + \dots . n terms