P. Kirschenhofer et H. Prodinger, THE HIGHER MOMENTS OF THE NUMBER OF RETURNS OF A SIMPLE RANDOM-WALK, Advances in Applied Probability, 26(2), 1994, pp. 561-563
We consider a simple random walk starting at 0 and leading to 0 after
2n steps. By a generating functions approach we achieve closed formula
e for the moments of the random variables 'number of visits to the ori
gin'.