- #1
mesa
Gold Member
- 695
- 38
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.
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