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, 2, ['5189', 'J']
Example Output: 0

Example Input: 1, 11, ['4195', 'G', '3905', '8825', 'J', 'I', 's', 'd', '2681', 'g', '3873', 'N', '9349']
Example Output: 23479

Example Input: 1, 1, ['O', '7069', 'V']
Example Output:
0