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: 10, 13, ['z', 'h', '141', '7351', '3683', '2199', '1981', '107', 'Y', 'E', 'G', 'P', '9677', 'O', 'e', '1661', 'f', '1367', 'b', '8531']
Example Output: 9677

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: 11, 12, ['7603', '6163', '7935', 'N', '4645', '2549', 'Y', '7187', '1151', 'X', 'k', 'h', '2111']
Example Output:
0