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.
3, 20, ['125', 'u', 'o', 'g', 'O', 'Z', '8853', '4709', 'Z', '2627', '7919', '195', '7627', 'f', '395', '9811', '7781', 'P', 'l', '4157']