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, 6, ['H', '7937', '9919', 'G', 's', '1929', '8585', 'n', 'u', 'J', 'C', '387']
Example Output: 19785

Example Input: 22, 23, ['H', '5147', '9429', 'v', '7687', 'r', '847', '1305', '483', '5113', '3175', 'N', '6195', 'A', '9111', '7507', '9639', 'W', '6673', 'T', '7525', 'g', 'O', '8593', 'g', '5257']
Example Output: 0

Example Input: 5, 7, ['199', '4741', 'v', 'r', 'P', '2515', 'f', 'Z', 'S', 'm', 'H', 't', 'M', 'B', '5087', 'x']
Example Output:
2515