Is there any simplification of $1!+2!+3!+4!...n!$?
7302
$\sum k! = 1! +2! +3! + \cdots + n!$ ,is there a generic formula for this?
83862
How to prove that the number $1!+2!+3!+...+n!$ is never square?
65672
Proof of the summation $n!=\sum_{k=0}^n \binom{n}{k}(n-k+1)^n(-1)^k$?
21000
Calculating $\sum_{k=1}^nk(k!)$ combinatorially
146305
Simplify sum of factorials with mathematical induction
15932
How to simplify the summation kk! without using induction?
39199
closed form for $\binom{n}{0}+\binom{n}{3}+\binom{n}{6}+...+\binom{n}{n}$
143264
Is there a nice way of expanding multinomials of the form $(1+x+\cdots+x^l)^n$?
106380
What is $n!$ when $n=0$?
116722
Simplifying $\big(\sum_{i=0}^n\binom{k}{i}\binom{M-k}{n-i}\frac{k-i}{M-n}\big)/{\binom{M}{n}}$
14540
Any shortcut to calculate factorial of a number (Without calculator or n to 1)?
87345
How many ways so that $x+y+z\leq n$?
20618
Expressing a factorial as difference of powers: $\sum_{r=0}^{n}\binom{n}{r}(-1)^r(l-r)^n=n!$?
56624
Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers
482
Express $1 + \frac {1}{2} \binom{n}{1} + \frac {1}{3} \binom{n}{2} + \dotsb + \frac{1}{n + 1}\binom{n}{n}$ in a simplifed form
135927
Calculating $\sum_{n=1}^\infty\frac{1}{(n-1)!(n+1)}$
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $