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: 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, 18, ['7053', '4271', '3175', '3997', '4153', '3255', 'd', '4507', 'q', 'm', 'V', '9999', 'Q', 'v', '8543', '2835', '1545', '3549']
Example Output: 26471

Example Input: 4, 5, ['Z', 'Z', '6145', 'w', 'V']
Example Output:
0