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

Example Input: 11, 27, ['1573', '6065', '869', '77', '9665', 'o', '8359', 'g', '3557', '521', '6797', '5117', '3921', '5707', 'k', '9855', '8415', 'Y', 'l', 'S', '385', '9063', '8975', '2047', 'H', 'p', 'p']
Example Output: 60282

Example Input: 10, 17, ['D', '1523', 'x', '9077', 'U', 'H', 'H', '201', '8731', 'i', '4971', 'T', '8939', 'y', 'S', 'B', '5661']
Example Output:
19571