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: 5, 11, ['5641', 'c', 'z', '5969', 'w', '9149', 'r', 'B', 'y', '3315', 'M', '8087', 'j', '1159', '9365', 'b', 'a', 'y', '6957', '5735', '9739', '133', 'm', '4887']
Example Output: 12464

Example Input: 12, 17, ['k', '9879', 'R', '2595', 'c', 'p', '3825', 'y', 'i', '6281', '927', 's', '5407', '9137', 'F', '8207', 'L', 'I']
Example Output: 22751

Example Input: 3, 9, ['249', '2749', '6505', 'Y', '5083', 'J', 'R', 'p', 'w', 'N', '2167', 'q', '4357', 'B']
Example Output:
11588