The higher moments of the number of returns of a simple random walk

Peter Kirschenhofer, Helmut Prodinger
1994 Advances in Applied Probability  
We consider a simple random walk starting at 0 and leading to 0 after 2n steps. By a generating functions approach we achieve closed formulae for the moments of the random variables 'number of visits to the origin'.
doi:10.1017/s0001867800026355 fatcat:j4dtsdq7enghvfvwxftope4k4m