Summation involving a factorial: $1 + \sum_{j=1}^{n} j!j$
70611
Prove by Mathematical Induction: $1(1!) + 2(2!) + \cdot \cdot \cdot +n(n!) = (n+1)!-1$
8806
Summation of binomial coefficients
122445
Sum of the series:$\frac{1}{1\cdot 2}+\frac{1\cdot3}{1\cdot2\cdot3\cdot4}+\cdots$
135218
Closed Form for Factorial Sum
110441
Closed form for a formula with a summation over $i\binom{n-i}{k-1}$, and combinatorial proof?
107789
Sum of $\sum \limits_{n=0}^{\infty} \frac{1}{(kn)!}$
3798
Finding formula for sum $S_n = \sum_{i=1}^n i(i-1)$
94943
Sum of series with addition: $\sum_{n=1}^\infty \frac{1}{n^2(n+1)}$
108688
An identity involving products of sums
47753
Closed form of series with factorial-squared denominator?
75457
How do i simplify the following: $\sum_{i=1}^n (3i^2+4) - \sum_{j=2}^{n+1} (3j^2+1)$
155479
Summation of inner products
64581
How to find the sum $\sum\limits_{k=1}^n (k^2+k+1)k!$?
146305
Simplify sum of factorials with mathematical induction
134361
Calculating the sum of a binomial coefficient series
126105
Compute $\sum_{k=1}^{n} \frac 1 {k(k + 1)} $
135927
Calculating $\sum_{n=1}^\infty\frac{1}{(n-1)!(n+1)}$