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: 13, 14, ['7395', '8249', 'n', '935', 'q', 'P', '7179', '2683', '8163', '4747', '2501', 'z', '7601', '7115', 'y', '53']
Example Output: 14716

Example Input: 4, 6, ['r', '4503', '7603', '1321', 'd', '7279']
Example Output:
8600