In this task, you are given inputs i,j, and A, where i and j are integers and A is a list. You need to return the sum of all the numerical elements in the list A between the positions i and j (including positions i and j). Return 0 if no numerical element is present in the list between the given ranges. i and j will be non-negative, and will always have a value less than the length of A. i will always be less than j.
13, 18, ['8493', '9817', 'C', 'w', '4645', 'P', 'X', '4173', 'g', '6825', 'g', '8773', '157', 'C', 's', 'u', 'Z', 'r', '7231', '995', 'F', '4137', 'F', '4355']