List questions from factorial

Published on 03 Sep 2019 - 15:20

80

Views

A combinatorial question with an easy rolling dice game

Published on 04 Sep 2019 - 10:33

310

Views

Prove that $n!=\prod_{k=1}^n \operatorname{lcm}(1,2,...,\lfloor n/k \rfloor)$ for any $n \in \mathbb N$

Published on 26 Mar 2026 - 23:10

147

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"Non-trivial" solutions to equal products of consecutive integers

Published on 06 Sep 2019 - 19:04

42

Views

Number of arrangements of one $1$, two $2$'s, three $3$'s, four $4$'s, ..., and nine $9$'s (given constraints)

Published on 08 Sep 2019 - 10:04

622

Views

Zeros at the end of sum of factorials

Published on 08 Sep 2019 - 11:59

366

Views

Are Factorials just Polynomials

Published on 10 Sep 2019 - 4:11

75

Views

To where the sum $\sum_{n=2}^N \frac{a^n}{n!}$ converges?

Published on 13 Sep 2019 - 8:51

1.8k

Views

expanding a factorial by simplifying with $(k-1)!$

Published on 26 Mar 2026 - 4:50

54

Views

Improving bounds on n, where n is the least integer such that n!>k^k for positive integer k

Published on 17 Sep 2019 - 22:24

74

Views

Value of convergent infinite factorial series

Published on 19 Sep 2019 - 16:23

2.3k

Views

What's the least positive integer that is not a factor of 25! and is not a prime number?

Published on 19 Sep 2019 - 17:21

33

Views

How to understand this simplification?

Published on 19 Sep 2019 - 18:24

149

Views

Alternative definition of factorial

Published on 20 Sep 2019 - 14:17

28

Views

Expressions reducible to factorial form

Published on 21 Sep 2019 - 4:07

List Question

Majoring sum with factorials

A combinatorial question with an easy rolling dice game

Prove that $n!=\prod_{k=1}^n \operatorname{lcm}(1,2,...,\lfloor n/k \rfloor)$ for any $n \in \mathbb N$

"Non-trivial" solutions to equal products of consecutive integers

Number of arrangements of one $1$, two $2$'s, three $3$'s, four $4$'s, ..., and nine $9$'s (given constraints)

Zeros at the end of sum of factorials

Are Factorials just Polynomials

To where the sum $\sum_{n=2}^N \frac{a^n}{n!}$ converges?

expanding a factorial by simplifying with $(k-1)!$

Improving bounds on n, where n is the least integer such that n!>k^k for positive integer k

Value of convergent infinite factorial series

What's the least positive integer that is not a factor of 25! and is not a prime number?

How to understand this simplification?

Alternative definition of factorial

Expressions reducible to factorial form

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