List questions from factorial

Published on 19 Mar 2014 - 3:10

241

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Show that $\,\,n!<\mathrm{e}\left(\frac{n}{2}\right)^n$

Published on 21 Mar 2014 - 16:14

341

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Name of numbers in "to the power of" and factorial calculations

Published on 22 Mar 2014 - 9:55

195

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How to calculate this sum: $\sum_{k=1}^{n} \frac{k}{n^k} \binom nk$

Published on 26 Mar 2014 - 18:21

97

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Calculate sum with binomial coefficients: $\sum_{k=0}^{n} \frac{1}{k+1} \binom nk x^{k+1}$

Published on 26 Mar 2014 - 18:58

76

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series calculation involving factorial

Published on 30 Mar 2014 - 12:55

145

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Demonstrate that $\displaystyle \frac{(2n - 2)!!}{(2n - 3)!!} \simeq 1.7 \sqrt{n}$

Published on 03 Apr 2014 - 12:36

1.5k

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Number of primes in $[30! + 2, 30! + 30]$

Published on 07 Apr 2014 - 16:33

3.2k

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Upper bound for $n!$

Published on 09 Apr 2014 - 12:27

440

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Factoring added factorials

Published on 10 Apr 2014 - 4:09

36

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How can we prove this = 1 for all n

Published on 10 Apr 2014 - 4:39

76

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Factorial simplication question

Published on 10 Apr 2014 - 19:14

60

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Prove or disprove: $(\frac{1}{n})^n(1 - \frac{1}{n})^{n^2-n} \simeq \frac{1}{n!}$ as $n \rightarrow \infty$.

Published on 10 Apr 2014 - 20:52

184

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The number of primes in the factorization of $N!$

Published on 13 Apr 2014 - 12:53

1.9k

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Prove that Legendre Symbol $\left(\frac{(p-1)!}p\right) \equiv p\pmod4$

Published on 25 Mar 2026 - 14:25

List Question

Can non-integer factorials be calculated without numerical integration?

Show that $\,\,n!<\mathrm{e}\left(\frac{n}{2}\right)^n$

Name of numbers in "to the power of" and factorial calculations

How to calculate this sum: $\sum_{k=1}^{n} \frac{k}{n^k} \binom nk$

Calculate sum with binomial coefficients: $\sum_{k=0}^{n} \frac{1}{k+1} \binom nk x^{k+1}$

series calculation involving factorial

Demonstrate that $\displaystyle \frac{(2n - 2)!!}{(2n - 3)!!} \simeq 1.7 \sqrt{n}$

Number of primes in $[30! + 2, 30! + 30]$

Upper bound for $n!$

Factoring added factorials

How can we prove this = 1 for all n

Factorial simplication question

Prove or disprove: $(\frac{1}{n})^n(1 - \frac{1}{n})^{n^2-n} \simeq \frac{1}{n!}$ as $n \rightarrow \infty$.

The number of primes in the factorization of $N!$

Prove that Legendre Symbol $\left(\frac{(p-1)!}p\right) \equiv p\pmod4$

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