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: 3, 6, ['w', 'V', '7413', '5027', 's', '7037', 'S', '763', 'D', 'U', 'x', 'l', '9331', 'S', 'k', '8369', 'D', 'A', 'e', 'A', 'r', '5113', '1367', '4197', 'm']
Example Output: 19477

Example Input: 4, 6, ['c', 'I', 'O', 'q', 'W', 'w', '7245', '4329', '3833', 'v', 'p', 'V', '5311', 'x', '3971', 't', '8157', '1803']
Example Output: 0

Example Input: 7, 9, ['3761', 'w', 'S', '8283', '9685', '6751', 'k', 'v', 'v', '6703', '6679', '9177', '3985', '7279', '499', '8171', '1443', 'R']
Example Output:
0