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: 2, 2, ['V', 'a']
Example Output: 0

Example Input: 1, 2, ['4319', '3495']
Example Output: 7814

Example Input: 2, 2, ['D', '6651']
Example Output:
6651