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: 12, 17, ['k', '9879', 'R', '2595', 'c', 'p', '3825', 'y', 'i', '6281', '927', 's', '5407', '9137', 'F', '8207', 'L', 'I']
Example Output: 22751

Example Input: 3, 20, ['u', '5631', '6297', 's', '5839', 'l', '6967', '4097', '4643', '9645', 'q', 'i', '2963', 'R', '9539', 'j', 'M', '5607', '2651', '907', 'z', 'C', 'O']
Example Output: 59155

Example Input: 3, 7, ['3561', 'g', 'W', 'z', '1161', 'r', 'k']
Example Output:
1161