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, 11, ['q', 'q', 'P', '4335', 'l', 'k', 'D', 'R', '719', 'g', '855', 'l', '6639', '7935', '8407', 'A', 'H', '8357', '759', 'i', '1205', 'B', 'Q', 'V', '359', '4565', '9975', 'g', 'h', '9585']
Example Output: 5909

Example Input: 3, 13, ['9585', '4573', '8113', '4163', 'D', '4641', '2077', 'D', '5339', 'Y', 'Z', '9133', '9401', 'o', '5033', 'd', '1745', '1357', '5513', '5369', 'N', '9355', 'C', 'W', 'C']
Example Output: 42867

Example Input: 6, 8, ['8811', 'c', 'O', '6613', 'P', 'D', '1727', 'j', 'm', '215', '157', '4675', '3451', '8853', 'D', '8325']
Example Output:
1727