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: 14, 15, ['Q', '2131', 'X', 'u', 'y', '9699', '7305', '3017', '8151', 'X', '9723', '7907', 'j', '1527', 'u', 'D', 'b', '7735', '1713']
Example Output: 1527

Example Input: 9, 12, ['8515', '4987', '7905', 'K', 'u', '2791', 'o', '8955', 'j', 'x', 'e', 'Z', '6231', '4913', '7933', '4079', '2945', '475', '6415', 'V', '8767', 't', 'c', '919', 'M', '5501', 'y', 'S', 'L', 'Q']
Example Output: 0

Example Input: 6, 12, ['g', 'H', 'u', 'd', 'm', '2199', '1901', '2047', 'g', '2863', '2225', 'a', '7559', '5569', '6165']
Example Output:
11235