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 · 2026-03-23 11:33:20

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 23 Mar 2026 - 11:33

score 1k · Answer 2 · 2026-03-17 20:53:13

1k

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

Published on 17 Mar 2026 - 20:53

score 74 · Answer 3 · 2026-03-22 07:31:11

74

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What is the name of this expression?

Published on 22 Mar 2026 - 7:31

score 160 · Answer 4 · 2026-03-22 05:34:29

160

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

Published on 22 Mar 2026 - 5:34

score 2.4k · Answer 5 · 2026-03-22 10:44:54

2.4k

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Proving $\sum_{k=1}^n kk!=(n+1)!−1$

Published on 22 Mar 2026 - 10:44

score 5.9k · Answer 6 · 2026-03-20 02:46:11

5.9k

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

Published on 20 Mar 2026 - 2:46

score 831 · Answer 7 · 2026-03-20 02:37:09

831

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Approximate value of $15!$

Published on 20 Mar 2026 - 2:37

score 249 · Answer 8 · 2026-03-20 01:15:49

249

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Limit of a Sequence involving factorials

Published on 20 Mar 2026 - 1:15

score 321 · Answer 9 · 2026-03-22 07:57:13

321

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

Published on 22 Mar 2026 - 7:57

score 184 · Answer 10 · 2026-03-20 09:09:43

184

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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 20 Mar 2026 - 9:09

score 226 · Answer 11 · 2026-03-19 18:20:51

226

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inverse of lower triangular matrix with factorials

Published on 19 Mar 2026 - 18:20

score 97 · Answer 12 · 2026-03-23 12:06:53

97

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

Published on 23 Mar 2026 - 12:06

score 259 · Answer 13 · 2026-03-19 19:31:49

259

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Double step Pochhammer symbol?

Published on 19 Mar 2026 - 19:31

score 64 · Answer 14 · 2026-03-22 17:02:56

64

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factorials and anti-factorials

Published on 22 Mar 2026 - 17:02

score 487 · Answer 15 · 2026-03-23 09:43:14

487

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Determine whether the Sequence is decreasing or increasing.

Published on 23 Mar 2026 - 9:43

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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