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.

Example Input: 3, 4, ['u', '5041', 'E', 'U', 'a', 'd']
Example Output: 0

Example Input: 8, 13, ['6413', 'n', 'z', 'T', 'R', 'Y', 'D', 'W', 'L', '521', '3411', 'B', 'O', '6757']
Example Output: 3932

Example Input: 2, 4, ['Y', '4311', '2863', 'o', '4693']
Example Output:
7174