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, 10, ['9139', 'F', 'e', 'F', '8979', '831', '6811', '3677', '2937', '1001']
Example Output: 33375

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: 4, 7, ['3329', 'a', '1697', 'o', '5377', 'f', '7685', 'G', 'T', '3659', '1667']
Example Output:
13062