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: 10, 16, ['Q', '931', 'P', '6777', 'X', '3855', 'i', '1055', 'd', 'p', '7947', 'z', 'X', 'h', 'g', 'w', 'r', 'T']
Example Output: 7947

Example Input: 6, 8, ['s', 'X', 'a', 'L', 'N', 'J', '1893', '4909', '349', '7679', '4479', 'i', '7345']
Example Output: 6802

Example Input: 1, 1, ['3049', 'o', 'R', 'S']
Example Output:
3049