List questions from factorial

Published on 26 Mar 2026 - 11:18

214

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Finding the $n^{th}$ derivative of $x^r$

Published on 18 Mar 2016 - 19:06

126

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Negative factorial over another negative factorial

Published on 18 Mar 2016 - 19:06

114

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Is $n! \sum_{i=0}^n{\frac{(-1)^i}{i!}}- (n-1)! \bigg[\sum_{i=0}^{n-2}{\frac{(-1)^i}{i!}}+...+\sum_{i=0}^{2}{\frac{(-1)^i}{i!}}\bigg]=(n-1)!$ true?

Published on 19 Mar 2016 - 12:07

269

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Proof that these two expressions are equivalent

Published on 31 Mar 2026 - 21:08

362

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Proof By Induction With Integration Problem

Published on 22 Mar 2016 - 7:48

67

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Integral To Summation Problem

Published on 22 Mar 2016 - 16:09

796

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Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$

Published on 22 Mar 2016 - 16:20

445

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How one can show $(r!)^s$ divides $(rs)!$?

Published on 23 Mar 2016 - 11:15

106

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What function describes this problem of every possible breeding of a set of dogs?

Published on 31 Mar 2026 - 19:49

284

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Is there a name for an 'incomplete' factorial $\frac{n!}{m!}$?

Published on 26 Mar 2016 - 13:21

254

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What is $\prod_{k=1}^{(p-1)/2} (2k-1)^2 \bmod p$ where $p$ is an odd prime?

Published on 31 Mar 2026 - 17:57

77

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Evaluation of an expression

Published on 27 Mar 2016 - 16:32

73

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How does factorials work in algebraic equations?

Published on 28 Mar 2016 - 8:51

185

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Divison in factoradic base

Published on 28 Mar 2016 - 21:09

List Question

proof - Show that $1! +2! +3!+\cdots+n!$ is a perfect power if and only if $n=3$

Finding the $n^{th}$ derivative of $x^r$

Negative factorial over another negative factorial

Is $n! \sum_{i=0}^n{\frac{(-1)^i}{i!}}- (n-1)! \bigg[\sum_{i=0}^{n-2}{\frac{(-1)^i}{i!}}+...+\sum_{i=0}^{2}{\frac{(-1)^i}{i!}}\bigg]=(n-1)!$ true?

Proof that these two expressions are equivalent

Proof By Induction With Integration Problem

Integral To Summation Problem

Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$

How one can show $(r!)^s$ divides $(rs)!$?

What function describes this problem of every possible breeding of a set of dogs?

Is there a name for an 'incomplete' factorial $\frac{n!}{m!}$?

What is $\prod_{k=1}^{(p-1)/2} (2k-1)^2 \bmod p$ where $p$ is an odd prime?

Evaluation of an expression

How does factorials work in algebraic equations?

Divison in factoradic base

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