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, 3, ['E', '6187', '5861', '3697', '2749', '1171', '6085', 'c', '2291', '2385', '7335', 'B']
Example Output: 12048

Example Input: 16, 18, ['o', '3669', 'M', 'M', 'R', 'r', 'o', 'P', 'q', '9939', '1807', 'F', 'J', 'a', '7773', 'I', 'A', '475', 'W', 'E', '417']
Example Output: 475

Example Input: 1, 4, ['h', 'o', '1975', 'L', 'g']
Example Output:
1975