New posts in factorial

Can 720! be written as the difference of two positive integer powers of 3?

elementary-number-theory diophantine-equations exponentiation factorial

Proof that the gamma function is an extension of the factorial function

calculus factorial gamma-function

Using the squeeze theorem to determine a limit $\lim_{n\to\infty} (n!)^{\frac{1}{n^2}}$

limits factorial radicals

Inequality $(n!)^3<n^n(n+1/2)^{2n}$

inequality factorial

Find all possible values of a natural number $n$ such that $a! + b! = 5^n$

elementary-number-theory factorial

Challenge: How to prove this identity between bi- and trinomial coefficients?

summation binomial-coefficients factorial multinomial-coefficients

Factorial canceling on expansion of binomial coefficients on Concrete Mathematics

limits discrete-mathematics binomial-coefficients factorial

Finding $\frac{3}{1!+2!+3!}+\frac{4}{2!+3!+4!} +\frac{5}{3!+4!+5!}+\cdots+\frac{2008}{2006!+2007!+2008!}$ [duplicate]

summation factorial

How do I find a factorial? [closed]

algorithm math language-agnostic factorial

Partial sums of falling factorials

combinatorics summation factorial closed-form

A Diophantine equation involving factorial

number-theory diophantine-equations factorial

Study the convergence of this: $\sum_n \frac{n! }{ 6\cdot7\cdots(n+5)}$ [closed]

real-analysis calculus convergence-divergence taylor-expansion factorial

Proof that the factorial is nonelementary

factorial gamma-function elementary-functions

How to prove $\sum_{r=0}^{n}\left(-1\right)^r\binom{n}{r}\left(n-r\right)^n=n!$ [duplicate]

summation solution-verification induction factorial

How to prove the formula for the Reciprocal Multifactorial constant?

sequences-and-series factorial gamma-function

Hint in Proving that $n^2\le n!$ [duplicate]

inequality proof-writing induction factorial

Closed Form for Factorial Sum

discrete-mathematics summation contest-math factorial

When is a binomial coefficient a factorial, i.e. when is $\binom{m}{j} = n!$ for some $n,m,j$?

number-theory binomial-coefficients factorial

What's the next base-ten non-pandigital factorial number after 41!?

number-theory elementary-number-theory factorial decimal-expansion natural-numbers

What is the last non-zero digit of $(\dots((2018\underset{! \text{ occurs }1009\text{ times}}{\underbrace{!)!)!\dots)!}}$?

modular-arithmetic factorial decimal-expansion