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: 1, 3, ['5437', '8521', '9081', 'h', '5453', '5065', '2949', 'P', 'Q', '2853', '7857', 'l', '5217', 'O', 'V', '3585', 't', '2593', 'V']
Example Output: 23039

Example Input: 2, 16, ['2169', 'o', 'D', '8877', '3351', 'p', 'X', '1143', '9633', 'f', '2507', 'S', '5541', 'B', '4543', 'A', 'f']
Example Output: 35595

Example Input: 8, 14, ['4509', 'V', 'C', 'M', 's', '2381', '8621', 'b', 'A', 'y', 'K', 's', 'F', 'G', '1281', 'u', '8567', 'l', '7827', '3211', '53', 'R', 'E', '9621']
Example Output:
0