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: 5, 14, ['r', '5851', '5957', '1951', '9761', '6805', '2323', 'J', '703', '9479', '6653', 'L', '513', 'A', 'v', '4273', '391', 'b']
Example Output: 36237

Example Input: 13, 19, ['5529', 'd', 'W', 'b', 'I', '65', '9995', '6331', '9373', 'V', '8389', 'E', '7455', '105', 'W', 'r', '7733', '7607', 'L', '5553', 'e']
Example Output: 22900

Example Input: 2, 2, ['G', '4565', 'd', '8117', '587', 'Q']
Example Output:
4565