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, 10, ['N', 'p', 'z', '6083', 'x', 'x', '3063', 'Y', '7099', '9961', 'k', '7365', 'e', '8629', '9595', '2831', '3649', '3809', 'm']
Example Output: 26206

Example Input: 1, 18, ['1137', '7521', '1291', 'o', '391', '5329', 'X', '391', 'i', '6893', '8547', '9361', 'Z', 'O', '9701', '4097', '9273', '3877', '1589', '9097']
Example Output: 67809

Example Input: 1, 6, ['O', 'Y', '7085', 't', 'Q', '5609']
Example Output:
12694