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: 5, 23, ['6187', 'j', '9129', 'n', 'D', '6181', 'H', 'c', 'V', 'w', '4481', '9115', '1067', 'H', 'a', '1421', '7129', 'S', 'D', '6027', '8845', '3827', 'L']
Example Output: 48093

Example Input: 1, 6, ['S', 'i', 'F', 'w', '6345', 'L', '9727', 'u', 'F', '7911', 'K', '3151', '6181', 'N', 'a']
Example Output: 6345

Example Input: 3, 17, ['d', '9499', 'P', 'I', 't', 'r', '6861', '9465', '7821', 'Y', '701', 'V', '8491', 'R', '6215', '2865', '6291', 'I', '7703', 'Y']
Example Output:
48710