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: 6, 15, ['H', 'u', 'Y', 'Z', 'm', '1897', 'u', '2511', '507', '4977', '2019', '8913', 'Q', '5835', '1787', 'q', '1197']
Example Output: 28446

Example Input: 4, 12, ['2337', 'A', 'j', 'p', 'c', 'k', 'Y', 'Q', 'N', 'L', '8857', '9985', 'N', 'x', 'u']
Example Output: 18842

Example Input: 3, 16, ['T', 'v', '2985', 'F', '8921', 'M', 'F', '4243', 'k', 'x', '435', 'B', '3335', '7613', 'M', '7809', 'q', '4147', 'h', '7523', 'R', '7589', '8795', 'O', 'L', '3371']
Example Output:
35341