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, 21, ['X', 'Z', '749', '5557', '9991', 'T', '3461', '335', 'I', 'J', '7113', 'b', '2683', '653', '3951', '4193', 'J', '7179', 'G', 'Y', '6151', '2873', 'X', '5619', '5151', '7689', '5605', 'o']
Example Output: 52016

Example Input: 14, 15, ['N', 'u', '4633', '5481', '2469', 'y', '2253', '4629', '8399', 'q', 'H', '8507', '1789', 'A', '5085', 'G', '9679', 'G', 'u', '9381']
Example Output: 5085

Example Input: 2, 6, ['t', '8127', 'Y', 'g', 'W', 'H', 'x', 'C', '8403', '5605', 'c', 'l', 'a', 'R', '8505', 'E', '5927', '4171', 'r', 'L', '8499', '3803', '1949']
Example Output:
8127