Question

Premutations of similar objects proof

score 33 · Answer 1 · 2022-01-13 13:49:45

33

Views

Premutations of similar objects proof

Published on 13 Jan 2022 - 13:49

score 32 · Answer 2 · 2026-04-11 22:30:17

32

Views

When are fractions of factorials equal to whole factorials?

Published on 11 Apr 2026 - 22:30

score 122 · Answer 3 · 2026-03-26 16:26:50

122

Views

Sum $ \sum_{n=1}^{\infty} {n2^n\over(n+2)!} $?

Published on 26 Mar 2026 - 16:26

score 249 · Answer 4 · 2026-04-11 11:50:40

249

Views

Identity involving double sum with binomials

Published on 11 Apr 2026 - 11:50

score 79 · Answer 5 · 2026-04-13 12:34:03

79

Views

Sum of terms in closed form

Published on 13 Apr 2026 - 12:34

score 94 · Answer 6 · 2026-04-13 19:57:01

94

Views

Sum of digits of a factorial

Published on 13 Apr 2026 - 19:57

score 284 · Answer 7 · 2026-04-12 04:33:57

284

Views

A sum that's possibly equal to the Euler-Mascheroni Constant $\sum_{n=1}^\infty \frac{\ln n!}{n^3}$

Published on 12 Apr 2026 - 4:33

score 520 · Answer 8 · 2026-04-04 23:24:13

520

Views

Let a rational number $\frac{a}{b}$ in its lowest form where $a$,$b$ are integers, with $0 < \frac{a}{b}< 1$, b > 1. How many of these have $ab = 15!$

Published on 04 Apr 2026 - 23:24

score 52 · Answer 9 · 2022-02-01 00:13:29

52

Views

Why is $\prod_{i=1}^p(np+i)=(np+p)!/(np)!$, where $n\geq 0,p\geq 1$ are integers?

Published on 01 Feb 2022 - 0:13

score 148 · Answer 10 · 2026-04-05 16:14:13

148

Views

Approximating factorial using identity $\frac{1}{x}!\frac{2}{x}!\cdots\cdot\frac{x}{x}!=\frac{ {x}!\cdot(2\pi)^{\frac{x-1}{2}} }{ x^x\cdot\sqrt{x} }$

Published on 05 Apr 2026 - 16:14

score 109 · Answer 11 · 2022-02-03 01:44:41

109

Views

Why I can't calculate the factorial of a non-integer in this way?

Published on 03 Feb 2022 - 1:44

score 159 · Answer 12 · 2026-04-06 03:41:56

159

Views

Can we somehow compute $(z^2 - 1)(z^2 - 4)(z^2 - 9)(z^2 - 16) \cdots (z^2 - k^2)$ in half the number of operations?

Published on 06 Apr 2026 - 3:41

score 157 · Answer 13 · 2026-04-12 13:48:16

157

Views

Minimizing a product of factorials

Published on 12 Apr 2026 - 13:48

score 79 · Answer 14 · 2026-04-13 14:44:38

79

Views

Prove $\lim_{k\to\infty}\sum_{n=0}^\infty \frac{1}{(n!)^k}=2$

Published on 13 Apr 2026 - 14:44

score 1.6k · Answer 15 · 2026-04-12 13:03:13

1.6k

Views

How can construction of the gamma function be motivated?

Published on 12 Apr 2026 - 13:03

List Question

Premutations of similar objects proof

When are fractions of factorials equal to whole factorials?

Sum $ \sum_{n=1}^{\infty} {n2^n\over(n+2)!} $?

Identity involving double sum with binomials

Sum of terms in closed form

Sum of digits of a factorial

A sum that's possibly equal to the Euler-Mascheroni Constant $\sum_{n=1}^\infty \frac{\ln n!}{n^3}$

Let a rational number $\frac{a}{b}$ in its lowest form where $a$,$b$ are integers, with $0 < \frac{a}{b}< 1$, b > 1. How many of these have $ab = 15!$

Why is $\prod_{i=1}^p(np+i)=(np+p)!/(np)!$, where $n\geq 0,p\geq 1$ are integers?

Approximating factorial using identity $\frac{1}{x}!\frac{2}{x}!\cdots\cdot\frac{x}{x}!=\frac{ {x}!\cdot(2\pi)^{\frac{x-1}{2}} }{ x^x\cdot\sqrt{x} }$

Why I can't calculate the factorial of a non-integer in this way?

Can we somehow compute $(z^2 - 1)(z^2 - 4)(z^2 - 9)(z^2 - 16) \cdots (z^2 - k^2)$ in half the number of operations?

Minimizing a product of factorials

Prove $\lim_{k\to\infty}\sum_{n=0}^\infty \frac{1}{(n!)^k}=2$

How can construction of the gamma function be motivated?

Trending Questions

Popular # Hahtags

Popular Questions