Sum of Series given another Given that: $$\sum_{n=1}^\infty \frac{1}{n^4}= \frac{\pi^4}{90}$$
Find the sum of:
$$\sum_{n=0}^\infty \frac{1}{(2n+1)^4}$$

We have that
$$\sum_{n=0}^\infty \frac{1}{(2n+1)^4}=\sum_{n=1}^\infty \frac{1}{n^4}-\sum_{n=1}^\infty \frac{1}{(2n)^4}$$
