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: 2, 6, ['2495', '83', '1257', '9157', 'z', 'Y', '8689', '385', '747', '1175', 'j', 'U', 'k']
Example Output: 10497

Example Input: 13, 19, ['5529', 'd', 'W', 'b', 'I', '65', '9995', '6331', '9373', 'V', '8389', 'E', '7455', '105', 'W', 'r', '7733', '7607', 'L', '5553', 'e']
Example Output: 22900

Example Input: 3, 4, ['D', '6019', 'Z', 'N', '4895', 'B', 'A', 't']
Example Output:
0