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: 6, 15, ['H', 'u', 'Y', 'Z', 'm', '1897', 'u', '2511', '507', '4977', '2019', '8913', 'Q', '5835', '1787', 'q', '1197']
Example Output: 28446

Example Input: 17, 21, ['7037', '9447', 'f', 'R', '1237', '5735', '1327', '1371', 'd', '3025', 'B', '9165', '3447', '6135', '3315', 'l', '8069', 'g', 'H', 'e', '4523', '3149', 'H', 'o', '3947']
Example Output: 12592

Example Input: 2, 4, ['L', 'D', '9603', '4635']
Example Output:
14238