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, 15, ['9611', 'm', '8001', '7451', 'O', '753', 'F', 'F', '3017', '8265', 'j', '5753', 'B', 'Q', '4079', 'k', 'N', '5197', '3885', '3193']
Example Output: 46930

Example Input: 16, 16, ['V', '9929', 'S', 'g', '1751', 'd', 'G', 't', '9289', '6139', 'J', 'T', 'W', '8085', '7747', 'j', '5657', '8875']
Example Output: 0

Example Input: 1, 5, ['9223', 'M', '761', '8807', '3465', 'G', '7711', 'S', 'k']
Example Output:
22256