- #1

- 648

- 18

So the title pretty much says it all, what other infinite series summations do we have for Pi^2/6 besides,

$$\sum_{n=1}^{\infty} 1/n^2$$

***EDIT*** I should also include,

$$\sum_{n=1}^{\infty} 2(-1)^(n+1)/n^2$$

$$\sum_{n=1}^{\infty} 4/(2n)^2$$

etc. etc.

A unique form outside of the 1/n^2 family.

$$\sum_{n=1}^{\infty} 1/n^2$$

***EDIT*** I should also include,

$$\sum_{n=1}^{\infty} 2(-1)^(n+1)/n^2$$

$$\sum_{n=1}^{\infty} 4/(2n)^2$$

etc. etc.

A unique form outside of the 1/n^2 family.

Last edited: