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.
11, 13, ['1857', '2445', 's', 'd', 'M', 'e', '6689', '9145', '6973', '229', 'L', '6837', 'd', '5873', '3711', '3495', 'S']