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: 1, 3, ['x', '971', '3029']
Example Output: 4000

Example Input: 1, 6, ['a', '9091', 'I', '4849', 'O', '2435', 'v']
Example Output: 16375

Example Input: 4, 6, ['x', 'n', '6229', 'S', 'J', 'O', '9571', 'E', 'W', 'i', 'Q', '7603', '2315', 'e', 'Q', '1343', 'P', 's']
Example Output:
0