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.
4, 15, ['101', 's', '8165', '5971', 'z', 'S', '2049', '7219', 'D', 'x', '2255', 'N', '9747', 'C', '3071', '6637', '4645', 'c', 'm', '8789', '4123', '7645']