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, 14, ['n', 'v', '7825', '5951', 'k', '1733', 'c', 'u', 'C', 'c', 'D', 'g', '9231', 'G']
Example Output: 24740

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: 5, 9, ['1577', 'b', 'i', '5791', '7633', '3387', '5015', '4517', 'e', 'P', 'G', 'h']
Example Output:
20552