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: 5, 12, ['2653', 'A', '4739', '149', 'J', '817', 'n', '9589', '965', '1545', 'r', '9061', '7973', '5769', 'Y', '5889', 'A', 'P', '5789', '9757']
Example Output: 21977

Example Input: 14, 18, ['4235', 'd', '7915', '2595', '1123', '475', '7987', '287', '4659', '45', '737', 'l', 'Z', '5245', '8021', 'g', 'D', '9801', '2327', '339']
Example Output: 23067

Example Input: 4, 13, ['745', '9849', 'k', 'h', 'c', 'O', 'Y', 'P', 'T', 'k', '4933', '8711', 'l', 'K', 'c', '7317', '5363', '9453', 'E', 'r', '1209', '5941', '171', '8911', 'E', '633']
Example Output:
13644