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, 3, ['h', 'w', '3397']
Example Output: 3397

Example Input: 4, 4, ['t', 'Z', '8689', 'I', '5589', 'H', 'Z']
Example Output: 0

Example Input: 23, 23, ['4559', 'P', '3241', '6363', 'o', '3873', '4161', '2983', 'G', '2703', '8869', '3139', '3971', 'T', '8149', '403', '4513', 'S', 'Q', 't', '389', '3717', 'C', '7659', '3799']
Example Output:
0