Sum of square patterns Can anyone give the name of this pattern
$$136^2+137^2+138^2+139^2+140^2+141^2+142^2+143^2+144^2 =\\ 
145^2+146^2+147^2+148^2+149^2+150^2+151^2+152^2$$

If we consider,
$3^2+4^2=5^2$ as triangle,
$10^2+11^2+12^2=13^2+14^2$ as pentagon,
$21^2+22^2+23^2+24^2=25^2+26^2+27^2$ as heptagon.
Then, interestingly, every structure has a right angled triangle as below.
Triangle: $3^2+4^2=5^2,$
Pentagon: $5^2+12^2=13^2,$
Heptagon: $7^2+24^2=25^2.$
The least length leg gives the count of the series as explained above in every right angled triangle.
Trigonometric Structure of the above series gives a common pattern that looks like a Olympic Torch or similar ones. 
