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, 17, ['J', '505', '9301', '6263', 'W', '901', '1441', '595', '7877', '4597', '409', 'j', 'Y', 'P', '4737', 'f', 'H', 'u', 'B', 'V', '6661', 'e']
Example Output: 36626

Example Input: 16, 22, ['F', '197', '9799', 'W', '9967', 'V', '9955', '5143', 't', 'f', '749', 'N', 'b', '8049', 'W', '6835', '8007', 'm', '7233', 'B', 'I', '599', '6101', 'G', 'i', '2271', 'h', 'P']
Example Output: 22674

Example Input: 7, 18, ['279', 'o', '8421', 'e', '2167', '6647', 'i', 's', 'I', 'G', '8201', 'E', 'h', 'U', '403', 'c', 'u', 'B', '9415', 't', 'a', '8787', 'E', '9677']
Example Output:
8604