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: 5, 6, ['3087', '7917', 'M', '4557', '4409', 'N', '1843', 's', '1883', 'L', '315', '9983', 'n', 'H', 't', '4419']
Example Output: 4409

Example Input: 5, 15, ['5049', '2581', '4617', 'b', 'c', 'z', '8247', 'd', '1413', '7797', 'K', 'T', '9009', 'V', '5179', '1643', '3923', '4885', 'j', '6717', 'D', 'D', 'O', '5777', 'W', 'J', '6267', 'e']
Example Output: 31645

Example Input: 3, 12, ['v', '1755', '5583', '6491', '8931', '4333', '4129', 'o', '7317', 'd', 'b', '9017', 'W', '3663', 'n', 'S', 'S']
Example Output:
45801