What is the sum of the following sequence: 1/1 + 1/3^2 + 1/5^2 + 1/7^2 + 1/9^2 +.............to infinity. Notice that the sequence is the sum of the reciprocals of squares of ALL odd numbers to infinity. Thanks for any help.

This site:

https://math.stackexchange.com/questions/402451/evaluating-a-summation-of-inverse-squares-over-odd-indices

has both the answer and an explanation.