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: 18, 27, ['1757', 'B', '5165', 'v', 'c', '2699', '9861', '3935', 'p', 'A', '6855', '5233', '1543', 'A', 'H', 'o', 'P', '6749', '2411', 'B', 'U', 'G', '1645', '1543', 'x', '7271', '4383', 'n', '2725', 'n']
Example Output: 24002

Example Input: 1, 5, ['5057', 'Z', 'a', '4561', '225', '6921', 'T', '4033', '1259', '9805', 'l', '5641']
Example Output: 9843

Example Input: 6, 15, ['I', '8885', '5915', 'A', 's', 'F', '7621', 't', '187', '1751', 'H', '8357', '187', '8425', '5595', 'R', '2085', '9229', 'v', 'o', 'K']
Example Output:
32123