Question

Is the product of two factorial always smaller than the factorial of the sum?

score 294 · Answer 1 · 2020-01-23 13:53:33

294

Views

Is the product of two factorial always smaller than the factorial of the sum?

Published on 23 Jan 2020 - 13:53

score 52 · Answer 2 · 2020-01-24 00:20:42

52

Views

Finding the factorial of a lesser number from the factorial of a number.

Published on 24 Jan 2020 - 0:20

score 144 · Answer 3 · 2020-01-24 07:53:44

144

Views

Why is $\sum_{k=0}^{\infty} \frac{k!}{\prod_{j=0}^{k} \left(2j+3\right)} = 2-\frac{\pi}{2}$ and how is this solution derived?

Published on 24 Jan 2020 - 7:53

score 153 · Answer 4 · 2020-01-24 08:16:09

153

Views

Approximate solution of $H(x)=(x!)^k$

Published on 24 Jan 2020 - 8:16

score 126 · Answer 5 · 2020-01-27 22:35:35

126

Views

For how many integers $n$ is $\frac{(n^3)!}{(n!)^{n^2-1}((n^2+1)!-(n^2)!)}$ an integer?

Published on 27 Jan 2020 - 22:35

score 33 · Answer 6 · 2020-01-29 08:29:17

33

Views

using derivative to find n which maximize multiplicity

Published on 29 Jan 2020 - 8:29

score 180 · Answer 7 · 2020-01-30 07:59:22

180

Views

Show $\frac{(3n+1)! n!}{(2n+1)!}$ can be written as a sum of ratios of factorials

Published on 30 Jan 2020 - 7:59

score 246 · Answer 8 · 2020-01-30 12:22:19

246

Views

What is the value of n if n is a positive integer?

Published on 30 Jan 2020 - 12:22

score 76 · Answer 9 · 2020-02-01 15:08:11

76

Views

Defining $x!$ at fractions and when $x<0$

Published on 01 Feb 2020 - 15:08

score 58 · Answer 10 · 2020-02-02 22:19:25

58

Views

Justification for divisor of $(2n)!$

Published on 02 Feb 2020 - 22:19

score 173 · Answer 11 · 2020-02-02 23:09:51

173

Views

Remainder of the sum of consecutive factorials

Published on 02 Feb 2020 - 23:09

score 91 · Answer 12 · 2020-02-05 10:09:10

91

Views

Evaluate $\lim_{n\to \infty}\sqrt[n]{\frac{(17n)!}{(n!)^{17}}}$

Published on 05 Feb 2020 - 10:09

score 155 · Answer 13 · 2020-02-07 22:57:50

155

Views

Finding the sum of series involving factorials and combinatorics in denominator and/or numerator

Published on 07 Feb 2020 - 22:57

score 152 · Answer 14 · 2020-02-10 14:58:58

152

Views

The amount of $n$ so that $n!+1$ is divisible by $p$

Published on 10 Feb 2020 - 14:58

score 95 · Answer 15 · 2020-02-10 15:08:19

95

Views

Scaling of a sum with factorials

Published on 10 Feb 2020 - 15:08

List Question

Is the product of two factorial always smaller than the factorial of the sum?

Finding the factorial of a lesser number from the factorial of a number.

Why is $\sum_{k=0}^{\infty} \frac{k!}{\prod_{j=0}^{k} \left(2j+3\right)} = 2-\frac{\pi}{2}$ and how is this solution derived?

Approximate solution of $H(x)=(x!)^k$

For how many integers $n$ is $\frac{(n^3)!}{(n!)^{n^2-1}((n^2+1)!-(n^2)!)}$ an integer?

using derivative to find n which maximize multiplicity

Show $\frac{(3n+1)! n!}{(2n+1)!}$ can be written as a sum of ratios of factorials

What is the value of n if n is a positive integer?

Defining $x!$ at fractions and when $x<0$

Justification for divisor of $(2n)!$

Remainder of the sum of consecutive factorials

Evaluate $\lim_{n\to \infty}\sqrt[n]{\frac{(17n)!}{(n!)^{17}}}$

Finding the sum of series involving factorials and combinatorics in denominator and/or numerator

The amount of $n$ so that $n!+1$ is divisible by $p$

Scaling of a sum with factorials

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