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, 6, ['H', '7937', '9919', 'G', 's', '1929', '8585', 'n', 'u', 'J', 'C', '387']
Example Output: 19785

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: 15, 24, ['987', '1799', 'q', '4969', '7401', 'M', '1637', '423', 'D', '2883', 'O', '5667', 'z', 'k', '6791', 'O', 'o', '4693', '6961', 'E', 'k', 'm', 'g', 'O', '7131', 'I', '7671']
Example Output:
18445