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: 2, 12, ['2873', '259', 'b', '2009', 'T', '6161', '8637', 'V', 'Z', 'Z', 'q', '6935', '5311']
Example Output: 24001

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: 16, 17, ['K', 'O', '6881', 'T', '6839', '8661', 'i', '6463', 'i', 'V', 'f', '5029', '8815', '2507', 'b', 'u', 'E']
Example Output:
0