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, 14, ['9503', '5983', '143', 'j', '9227', 'g', 'X', '5995', '6623', 'k', 'q', '1047', '2815', '569', 's', 'D', '4045', 'G', '9707', '6707', '7953', 'R']
Example Output: 41905

Example Input: 23, 25, ['v', 'J', 'B', 'y', 'G', 'z', 'f', '1651', 'T', 'X', '8701', '701', 'T', 'V', '1037', '4095', '8297', '2733', 'P', 'J', '7759', 'Z', '8153', 'q', '7619']
Example Output: 15772

Example Input: 2, 3, ['5619', 'b', 'u', '9247', '8233']
Example Output:
0