Sums of rising factorial powers
110262
Finding a closed formula for $1\cdot2\cdot3\cdots k +\dots + n(n+1)(n+2)\cdots(k+n-1)$
29609
Limits involving factorials $\lim_{N\to\infty} \frac{N!}{(N-k)!N^{k}}$
134352
The number of possible factorizations of a positive integer.
26908
Partial Sums of Geometric Series
14884
Compute a sum with partial fraction decomposition and generating functions
100566
Ramanujan's approximation to factorial
146305
Simplify sum of factorials with mathematical induction
74596
Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?
107686
Proof that the gamma function is an extension of the factorial function
144655
Expanding with fractional powers
35525
Methods to compute $\sum_{k=1}^nk^p$ without Faulhaber's formula
99453
Sum of $k$-th powers
96585
Sums and permutation
140458
Infinite summation involving exponents
142303
Alternating sum of binomial coefficients multiplied by (1/k+1)
18301
Proof by Induction involving Inequality and Factorials as denominators
63314
Triangular Factorials