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.
14, 19, ['e', 'Q', 'K', '3771', '6659', '9783', 'r', 'B', '8325', 'C', 'K', 'B', '7857', 'm', 'B', 'Q', '2987', '6517', 'a', '4749', 'R', '1117', '9643']