Question

How is $\frac{\left(2\left(n+1\right)\right)!}{\left(n+1\right)!}\cdot \frac{n!}{\left(2n\right)!}$ simplified like that?

score 1.6k · Answer 1 · 2026-05-10 10:43:13

1.6k

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How is $\frac{\left(2\left(n+1\right)\right)!}{\left(n+1\right)!}\cdot \frac{n!}{\left(2n\right)!}$ simplified like that?

Published on 10 May 2026 - 10:43

score 1k · Answer 2 · 2026-05-05 12:18:19

1k

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Remainder of $22!$ upon division with $23$?

Published on 05 May 2026 - 12:18

score 85 · Answer 3 · 2026-04-29 12:19:18

85

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What is the name of this expression?

Published on 29 Apr 2026 - 12:19

score 169 · Answer 4 · 2026-04-29 12:19:14

169

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How to compute $\left(\frac{n-1}{2}\right)!\pmod{n}$ fast?

Published on 29 Apr 2026 - 12:19

score 2.4k · Answer 5 · 2026-05-05 13:48:40

2.4k

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Proving $\sum_{k=1}^n kk!=(n+1)!−1$

Published on 05 May 2026 - 13:48

score 6k · Answer 6 · 2026-04-29 12:15:02

6k

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How do we know the Gamma function Γ(n) is ((n-1)!)?

Published on 29 Apr 2026 - 12:15

score 844 · Answer 7 · 2026-04-29 12:19:16

844

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Approximate value of $15!$

Published on 29 Apr 2026 - 12:19

score 260 · Answer 8 · 2026-04-29 12:19:18

260

Views

Limit of a Sequence involving factorials

Published on 29 Apr 2026 - 12:19

score 334 · Answer 9 · 2026-05-07 12:50:37

334

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How to understand intuitively the fact that $\log(n!) = n\log(n) - n + O(\log(n))$?

Published on 07 May 2026 - 12:50

score 194 · Answer 10 · 2026-05-07 11:31:29

194

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Deriving the fact that the approximation $\log(n!) \approx n\log(n) - n + \frac{1}{2}\log(2\pi n)$ is $O(1/n)$.

Published on 07 May 2026 - 11:31

score 235 · Answer 11 · 2026-05-03 10:55:59

235

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inverse of lower triangular matrix with factorials

Published on 03 May 2026 - 10:55

score 104 · Answer 12 · 2026-05-02 05:17:11

104

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comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Published on 02 May 2026 - 5:17

score 267 · Answer 13 · 2026-05-07 20:35:25

267

Views

Double step Pochhammer symbol?

Published on 07 May 2026 - 20:35

score 73 · Answer 14 · 2026-05-10 08:15:59

73

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factorials and anti-factorials

Published on 10 May 2026 - 8:15

score 493 · Answer 15 · 2026-05-05 04:09:25

493

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Determine whether the Sequence is decreasing or increasing.

Published on 05 May 2026 - 4:09

List Question

How is $\frac{\left(2\left(n+1\right)\right)!}{\left(n+1\right)!}\cdot \frac{n!}{\left(2n\right)!}$ simplified like that?

Remainder of $22!$ upon division with $23$?

What is the name of this expression?

How to compute $\left(\frac{n-1}{2}\right)!\pmod{n}$ fast?

Proving $\sum_{k=1}^n kk!=(n+1)!−1$

How do we know the Gamma function Γ(n) is ((n-1)!)?

Approximate value of $15!$

Limit of a Sequence involving factorials

How to understand intuitively the fact that $\log(n!) = n\log(n) - n + O(\log(n))$?

Deriving the fact that the approximation $\log(n!) \approx n\log(n) - n + \frac{1}{2}\log(2\pi n)$ is $O(1/n)$.

inverse of lower triangular matrix with factorials

comptuting $ \lim\limits_{n\to\infty} \frac{3^{n}+\sqrt{n}}{n!+2^{(n+1)}}$

Double step Pochhammer symbol?

factorials and anti-factorials

Determine whether the Sequence is decreasing or increasing.

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