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, 2, ['t', '9343', 'g']
Example Output: 9343

Example Input: 7, 8, ['R', 'r', '6533', '3469', '3973', '1915', 'p', 't', 'a']
Example Output: 0

Example Input: 3, 4, ['L', 'T', 'W', 'S', '7345', '9439', 'L', 'b']
Example Output:
0