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, 4, ['7771', '6243', 's', 'n', '4775']
Example Output: 14014

Example Input: 2, 3, ['o', 'p', '4765', 'u', '629', 'p']
Example Output: 4765

Example Input: 16, 18, ['5583', '403', 'p', '4021', 'r', '1211', 's', '1551', '4895', 'u', '6225', '2731', 'Y', 'F', 'v', '6553', '3527', '5699', 'x']
Example Output:
15779