Finding an explicit formula for the following exponential generating function
61592
Exponential generating function to find recurrence formula $a_n$
46144
Understanding imaginary exponents
138456
How to fit $\sum{n^{2}x^{n}}$ into a generating function?
116520
formula for the $n$th derivative of $e^{-1/x^2}$
92235
Explicit formula for Bernoulli numbers by using only the recurrence relation
4265
Finding the Moment Generating Function of $X^2$ when $X\sim N(0,1)$
102893
Help finding probability generating function
158004
A formula for $1^4+2^4+...+n^4$
36438
How to solve infinite repeating exponents
112573
Combinatorial proof for Stirling number of 1st kind's generating function
23093
Proof of recursion formula for Stirling number of the second kind
122678
Find the probability generating function of $Z=\sum_{i=1}^{N}X_i.$
129860
Find a formula for this sequence (and prove it).
157601
Proof a formula of the Fibonacci sequence with induction
140458
Infinite summation involving exponents
96919
Characteristic equation of a recurrence relation
83058
Finding $\mathrm{Var}(N)$ if $N=\inf\{n\ge1:\sum_{i=1}^nX_i>1\}$ where $X_i$'s are i.i.d Exponential variables