Question

Calculating factorials with linear systems, an approach for finding generalizations?

score 115 · Answer 1 · 2026-04-07 19:30:29

115

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Calculating factorials with linear systems, an approach for finding generalizations?

Published on 07 Apr 2026 - 19:30

score 621 · Answer 2 · 2026-03-28 23:58:42

621

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Why do factorials of big numbers have so many trailing zeros?

Published on 28 Mar 2026 - 23:58

score 3.3k · Answer 3 · 2017-08-15 16:19:28

3.3k

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arranging letters in Massachusetts

Published on 15 Aug 2017 - 16:19

score 158 · Answer 4 · 2017-08-16 11:40:00

158

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How often are prime powers next to factorials.

Published on 16 Aug 2017 - 11:40

score 252 · Answer 5 · 2026-03-25 12:47:35

252

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q-exponential functions

Published on 25 Mar 2026 - 12:47

score 90 · Answer 6 · 2017-08-18 08:18:44

90

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Proof that $n!$ is divisible by $(n+1)^2$ for $n=xy+x+y$

Published on 18 Aug 2017 - 8:18

score 247 · Answer 7 · 2017-08-19 11:15:38

247

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How many numbers less than $100$ can be expressed as a sum of distinct factorials?

Published on 19 Aug 2017 - 11:15

score 78 · Answer 8 · 2026-03-25 17:41:50

78

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I ran $\frac{d^n}{dx^n}[(x!)!]$ through the calculator but don’t understand the $R^{(0,1)}$ and $R(n,x)$ in the output

Published on 25 Mar 2026 - 17:41

score 76 · Answer 9 · 2026-03-27 03:57:45

76

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Clueless as to how to solve this gamma function differential inequality

Published on 27 Mar 2026 - 3:57

score 125 · Answer 10 · 2026-03-29 12:41:07

125

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Prove the identity $\frac{(2n)!}{2^n \cdot n!} = (2n-1)(2n-3)\cdots 3\cdot 1$ using combinatorial proof.

Published on 29 Mar 2026 - 12:41

score 42 · Answer 11 · 2017-08-22 14:31:41

42

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How Do I compute this expression efficiently

Published on 22 Aug 2017 - 14:31

score 392 · Answer 12 · 2026-03-25 20:42:19

392

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Has something like "Knuth's Up-Arrow Factorial Notation" ever been used? If so, what practical uses does it have?

Published on 25 Mar 2026 - 20:42

score 288 · Answer 13 · 2026-03-31 01:04:05

288

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Is this true $n!\leq(\frac{5n+7}{12})^n,n∈N$?

Published on 31 Mar 2026 - 1:04

score 2.2k · Answer 14 · 2017-08-26 19:14:02

2.2k

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Three positive integers $a$, $b$, and $c$ satisfy $abc=8!$ where $a<b<c$. What is the smallest possible value of $c-a$?

Published on 26 Aug 2017 - 19:14

score 94 · Answer 15 · 2026-04-04 15:18:20

94

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Summation of some factorial terms

Published on 04 Apr 2026 - 15:18

List Question

Calculating factorials with linear systems, an approach for finding generalizations?

Why do factorials of big numbers have so many trailing zeros?

arranging letters in Massachusetts

How often are prime powers next to factorials.

q-exponential functions

Proof that $n!$ is divisible by $(n+1)^2$ for $n=xy+x+y$

How many numbers less than $100$ can be expressed as a sum of distinct factorials?

I ran $\frac{d^n}{dx^n}[(x!)!]$ through the calculator but don’t understand the $R^{(0,1)}$ and $R(n,x)$ in the output

Clueless as to how to solve this gamma function differential inequality

Prove the identity $\frac{(2n)!}{2^n \cdot n!} = (2n-1)(2n-3)\cdots 3\cdot 1$ using combinatorial proof.

How Do I compute this expression efficiently

Has something like "Knuth's Up-Arrow Factorial Notation" ever been used? If so, what practical uses does it have?

Is this true $n!\leq(\frac{5n+7}{12})^n,n∈N$?

Three positive integers $a$, $b$, and $c$ satisfy $abc=8!$ where $a<b<c$. What is the smallest possible value of $c-a$?

Summation of some factorial terms

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