List questions from summation

Published on 11 Apr 2026 - 0:30

153

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How to compute $\sum_{k=1}^n \frac{1}{\sin^2(\frac{k\pi}{2n+1})}$ efficiently?

Published on 12 Apr 2026 - 12:12

492

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Alternating Euler sums

Published on 16 Apr 2026 - 11:53

135

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Proofs involving summations

Published on 15 Apr 2026 - 7:41

196

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Is it possible a closed expression for $1^k + 2^k + ... + n^k$? If so, am I on the way?

Published on 10 Apr 2026 - 19:08

122

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Is there a combinatorial interpretation for the following sum?

Published on 10 Apr 2026 - 2:23

292

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$a_1 + a_2 + \dots a_n = 1$ find min of $a_1^2 +\frac{a_2^2}{2} + \dots + \frac{a_n^2}n.$

Published on 15 Apr 2026 - 20:07

411

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Challenging recurrence relation that depends on composition of integers

Published on 11 Apr 2026 - 0:38

1.1k

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Logarithm limit, almost Riemann sum $\lim\limits_{n\to\infty}\frac1n\sum\limits_{k=1}^n\log\frac kn=-1$

Published on 25 Apr 2026 - 5:22

108

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Arriving at $1+2+3+ \cdots = -1/12$ by Trying to Solve the Basel Problem?

Published on 16 Apr 2026 - 2:35

171

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Closed form for $\sum_{k=0}^{n} x^{a^k}$

Published on 11 Apr 2026 - 7:46

904

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Trying to understand expectation and density functions

Published on 10 Apr 2026 - 9:59

85

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Is this a valid mathematical induction proof?

Published on 17 Apr 2026 - 15:43

540

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Simplifying the product of multiple binomial expansions

Published on 08 Apr 2026 - 13:41

97

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A harmonic sum with 'k'

Published on 09 Apr 2026 - 14:04

List Question

Bound weighted sum

How to compute $\sum_{k=1}^n \frac{1}{\sin^2(\frac{k\pi}{2n+1})}$ efficiently?

Alternating Euler sums

Proofs involving summations

Is it possible a closed expression for $1^k + 2^k + ... + n^k$? If so, am I on the way?

Is there a combinatorial interpretation for the following sum?

$a_1 + a_2 + \dots a_n = 1$ find min of $a_1^2 +\frac{a_2^2}{2} + \dots + \frac{a_n^2}n.$

Challenging recurrence relation that depends on composition of integers

Logarithm limit, almost Riemann sum $\lim\limits_{n\to\infty}\frac1n\sum\limits_{k=1}^n\log\frac kn=-1$

Arriving at $1+2+3+ \cdots = -1/12$ by Trying to Solve the Basel Problem?

Closed form for $\sum_{k=0}^{n} x^{a^k}$

Trying to understand expectation and density functions

Is this a valid mathematical induction proof?

Simplifying the product of multiple binomial expansions

A harmonic sum with 'k'

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