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Periodic sequences resulting from a summation over the Thue–Morse sequence

score 212 · Answer 1 · 2026-03-26 09:40:29

212

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Periodic sequences resulting from a summation over the Thue–Morse sequence

Published on 26 Mar 2026 - 9:40

score 5.7k · Answer 2 · 2026-04-17 22:12:08

5.7k

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Definite Integral definition Proof

Published on 17 Apr 2026 - 22:12

score 77 · Answer 3 · 2026-04-10 05:39:55

77

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Closed Form Equation for Finding Roots of Fibonacci Series Given Any Two Consecutive Numbers in that Series

Published on 10 Apr 2026 - 5:39

score 246 · Answer 4 · 2026-04-12 07:54:10

246

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Infinite sum of zeros approach -1

Published on 12 Apr 2026 - 7:54

score 76 · Answer 5 · 2026-04-11 18:36:41

76

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How to compute the infinite sum given by a (fourier) series

Published on 11 Apr 2026 - 18:36

score 54 · Answer 6 · 2026-04-16 09:16:09

54

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What is the Limit Inferior of the sequence ${x}_{n}$?

Published on 16 Apr 2026 - 9:16

score 383 · Answer 7 · 2026-04-15 16:13:23

383

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If $|a_1|>1$, then the series $\sum\frac{a_1^n+\cdots+a_k^n}{n}$ diverges

Published on 15 Apr 2026 - 16:13

score 1.7k · Answer 8 · 2026-04-16 00:54:58

1.7k

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Why are Quadratic progressions called so and how is general term of a quadratic sequence $an^2 + bn + c$?

Published on 16 Apr 2026 - 0:54

score 481 · Answer 9 · 2026-04-12 20:33:12

481

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Count circular sequences with different adjacent elements

Published on 12 Apr 2026 - 20:33

score 65 · Answer 10 · 2026-04-18 11:54:48

65

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closed form of series involving gamma function

Published on 18 Apr 2026 - 11:54

score 114 · Answer 11 · 2026-04-11 16:52:49

114

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How to prove that $\sum\limits_{k=0}^{\infty}(k+1) e^{-\frac{k^2}{2}} < 3$?

Published on 11 Apr 2026 - 16:52

score 114 · Answer 12 · 2026-04-29 12:51:14

114

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If $a_i>0$ and $\sum_{i=1}^n a_i = 1$, then $\sum_{i=1}^n \frac{1}{a_i} \geq n^2$?

Published on 29 Apr 2026 - 12:51

score 1.4k · Answer 13 · 2026-03-25 06:15:31

1.4k

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Convergence of the random harmonic series $\sum_{n=1}^{\infty}\frac{X_{n}}{n}$

Published on 25 Mar 2026 - 6:15

score 30 · Answer 14 · 2026-04-15 12:39:39

30

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Let $A$ be a non-empty compact set in a normed space $E$. Prove that there exists a finite or countable subset of $A$ which is dense in $A$.

Published on 15 Apr 2026 - 12:39

score 142 · Answer 15 · 2026-04-13 21:11:39

142

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Does the infinite series $\sum_{n=2} \frac{(-1)^n}{\sqrt[n]{ln(n)}}$ converge absolutely / converge / diverge?

Published on 13 Apr 2026 - 21:11

List Question

Periodic sequences resulting from a summation over the Thue–Morse sequence

Definite Integral definition Proof

Closed Form Equation for Finding Roots of Fibonacci Series Given Any Two Consecutive Numbers in that Series

Infinite sum of zeros approach -1

How to compute the infinite sum given by a (fourier) series

What is the Limit Inferior of the sequence ${x}_{n}$?

If $|a_1|>1$, then the series $\sum\frac{a_1^n+\cdots+a_k^n}{n}$ diverges

Why are Quadratic progressions called so and how is general term of a quadratic sequence $an^2 + bn + c$?

Count circular sequences with different adjacent elements

closed form of series involving gamma function

How to prove that $\sum\limits_{k=0}^{\infty}(k+1) e^{-\frac{k^2}{2}} < 3$?

If $a_i>0$ and $\sum_{i=1}^n a_i = 1$, then $\sum_{i=1}^n \frac{1}{a_i} \geq n^2$?

Convergence of the random harmonic series $\sum_{n=1}^{\infty}\frac{X_{n}}{n}$

Let $A$ be a non-empty compact set in a normed space $E$. Prove that there exists a finite or countable subset of $A$ which is dense in $A$.

Does the infinite series $\sum_{n=2} \frac{(-1)^n}{\sqrt[n]{ln(n)}}$ converge absolutely / converge / diverge?

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