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: 13, 14, ['5297', 'V', '7495', '6967', 'b', 'w', 'a', '2403', 'V', 'n', '525', 'd', 'o', 'm', '3439', '4245', '6381', '5743', 'P', '1047']
Example Output: 0

Example Input: 2, 10, ['9653', '3845', 'm', 'K', 'j', '5041', 'W', 's', 'j', 'A', 'G']
Example Output: 8886

Example Input: 11, 15, ['W', '8193', '2581', 'f', 'j', '5727', 'A', '6177', 'u', '4201', 'T', 'w', 'C', 'u', '7973', 'd', 'c']
Example Output:
7973