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: 3, 4, ['9567', '9317', 'l', 'n', 'i', '6993', '2775', '2651', '1311', '2955', '6271', 'b', '7333', 'U', 'd', '6455', 'n', 'o', '1871', 'u']
Example Output: 0

Example Input: 2, 3, ['h', 'w', '3397']
Example Output: 3397

Example Input: 3, 4, ['105', 'B', '4641', '9199', 'B', '2441']
Example Output:
13840