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, 2, ['4001', 'e', 'm', 'Q', 'T', 'a', '2909', '4043', 'O', 'L', '3401', 'Y', '4015', '2045', '3881', 'd']
Example Output: 4001

Example Input: 3, 6, ['7073', '3047', 'O', 'c', 'u', 'G']
Example Output: 0

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