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, 10, ['r', 'A', 'l', '7169', '3249', 'T', 'O', 'g', 'F', 'M', 'R', '171', 'M', '2449', '3749', 'f']
Example Output: 10418

Example Input: 3, 15, ['q', '3851', '3631', 'z', '6681', 'Z', '461', 'K', 'P', 'i', '9039', '5929', '1415', 'o', 'O', 'H', '4047', 'B', '7073', '2087', 'I', '6857', '5751', '3633', 'U', '869', 'n', 'h', '7807', '469']
Example Output: 27156

Example Input: 1, 6, ['141', 'E', '4661', '3223', 'I', 'X']
Example Output:
8025