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, 6, ['u', 'L', 'm', '9283', 'e', '4615', '7815', '7185', 'h', 'h', '8985', '3987', '1521', 'k', '5715', 'd', 'w', 'T']
Example Output: 13898

Example Input: 11, 15, ['C', 'E', '9009', '9169', 'k', 'z', 'O', 'X', 'q', '2333', 's', 'H', '1145', 'a', '3773', '4701', '955', 'c', 'U', '3643', 'j', 'u', '5153', 'w', '721', 'S', 'I']
Example Output: 4918

Example Input: 11, 13, ['L', 'v', 'o', '8089', 'u', '7105', '4451', '9785', 'e', 'p', 'p', '7077', '2815', 'v', 'p', '3593', 't', '6771', 'd', '2651']
Example Output:
9892