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: 4, 5, ['677', '5585', 'W', 'J', 'C']
Example Output: 0

Example Input: 4, 22, ['B', 'I', '5423', '9395', '6733', '8815', 'A', 'o', '3809', '7385', 'z', 'Y', 'r', 'b', '903', 'k', '5975', '6687', 'K', '3971', 'r', '9579', 'F', '3705', 'X', 'E', '6071', '8277', '5397']
Example Output: 63252

Example Input: 18, 21, ['4229', 'M', '6313', 'X', 'A', '2091', '3225', '207', 'L', '7969', '9573', 'o', 'P', '3091', 'c', '7537', 'G', '9035', 'z', '4435', 'J', '6095', '5145', '2849', '5735', '7659', 'O', '1045', '7187']
Example Output:
13470