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: 3, 4, ['2977', 'i', 'l', 'r', '8835', '7697', 'p', '1685', 'h', 'N', 'Z', '8661', '6003', '7007', 'D', 'C']
Example Output: 0

Example Input: 2, 5, ['8407', '1329', '2243', '2547', '5371', '6023', '7139', 'K', '339', '3301', '6771', 'Z', '9983', '17', 'V']
Example Output: 11490

Example Input: 2, 12, ['j', '805', 'K', 'i', 'v', 'J', '3475', 'T', 'T', 'y', 'H', '7655', '6545', '9977', '6677', '7609']
Example Output:
11935