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, 8, ['D', '1285', '5209', '1711', '9729', 'C', '2863', '9595', 'F', 'f', '8515', 'g', 'e', '2363']
Example Output: 30392

Example Input: 3, 16, ['1165', 't', '4833', 'b', '6361', '1175', '3943', 'd', 'l', '7519', 'j', 'X', 'E', 'A', 'm', '6469', '9429', '2415', '5187', 'k', 'd', '9607', '1375', '8913', 'c', 'A', '9229']
Example Output: 30300

Example Input: 10, 11, ['p', 'H', 'L', 'e', 'L', 'd', '1191', 'B', '8327', 'a', 'M', '1181', '6547']
Example Output:
0