Fourth Power is Sum of 2 Triangular Numbers/Examples/T41 + T55

Example of Use of Fourth Power is Sum of 2 Triangular Numbers

 * $7^4 = T_{41} + T_{55}$

Proof
We have:
 * $41 = 7^2 - 7 - 1$

and:
 * $55 = 7^2 + 7 - 1$

Hence from Fourth Power is Sum of 2 Triangular Numbers:


 * $7^4 = T_{41} + T_{55}$