List questions from factorial

Published on 18 Jan 2017 - 20:17

100

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Prove $2^{3n}3^n | (4n)!$ Algebraically

Published on 18 Jan 2017 - 20:52

334

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What is $\lim\limits_{n\to\infty}\frac{n^\sqrt n}{n!}$?

Published on 19 Jan 2017 - 2:19

400

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Prove that $ \frac{n(n-1)(n-k+1)}{k(k-1)\cdots1} = \frac{n!}{(n-1)!k!}$

Published on 19 Jan 2017 - 19:37

42

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Simplyifying factorials

Published on 19 Jan 2017 - 20:43

1k

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Perfect and factorial numbers

Published on 26 Mar 2026 - 9:16

234

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How can I evaluate this series?

Published on 21 Jan 2017 - 23:26

137

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Since $(\frac{1}{2})!=\frac{\sqrt{\pi}}{2}$, what is $(\frac{1}{4})!$

Published on 22 Jan 2017 - 12:45

4.7k

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Simplifying fraction with factorials: $\frac{(3(n+1))!}{(3n)!}$

Published on 22 Jan 2017 - 19:05

119

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Inverse of composition - series with factorial

Published on 22 Jan 2017 - 19:31

36

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How can I write the equivalent of this formula for non integer n and k in terms of gamma functions?

Published on 23 Jan 2017 - 0:19

691

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How to prove that $\frac{1000!}{(500!)^2}$ is not divisible by 7?

Published on 24 Jan 2017 - 15:26

154

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solving a strange Diophantine equation ${\sqrt{n}}^\sqrt{n} -11 =m!^2$

Published on 24 Jan 2017 - 23:47

462

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Basics of Factorials

Published on 25 Jan 2017 - 21:29

191

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Dividing polynomial coefficients by factorials

Published on 26 Jan 2017 - 23:24

List Question

Limit when $n$ tends to $\infty$ of $\log(n!)/\log(n+1)$?

Prove $2^{3n}3^n | (4n)!$ Algebraically

What is $\lim\limits_{n\to\infty}\frac{n^\sqrt n}{n!}$?

Prove that $ \frac{n(n-1)(n-k+1)}{k(k-1)\cdots1} = \frac{n!}{(n-1)!k!}$

Simplyifying factorials

Perfect and factorial numbers

How can I evaluate this series?

Since $(\frac{1}{2})!=\frac{\sqrt{\pi}}{2}$, what is $(\frac{1}{4})!$

Simplifying fraction with factorials: $\frac{(3(n+1))!}{(3n)!}$

Inverse of composition - series with factorial

How can I write the equivalent of this formula for non integer n and k in terms of gamma functions?

How to prove that $\frac{1000!}{(500!)^2}$ is not divisible by 7?

solving a strange Diophantine equation ${\sqrt{n}}^\sqrt{n} -11 =m!^2$

Basics of Factorials

Dividing polynomial coefficients by factorials

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