Definition: 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.
Input: 6, 20, ['H', '9331', 'r', 'c', '1087', 'y', 'b', 'g', 'I', 'c', 'S', 'x', 'X', 'J', 'B', 'w', '1811', 'P', '8081', 'u', '6453', 'Y']

9892