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: 12, 15, ['1763', '4067', 'Z', '8001', '7199', '5539', 'h', 'L', 'm', 's', '2543', 'R', '7977', 'c', 'w', 'U', '181', 'i', '6425', '3499', '9473', '133', '4205', 'r', '6473', 'z', 'm', '9325', 'd']

7977