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: 1, 15, ['J', 'L', 'M', 'X', 'P', '8435', 'D', '1439', '9545', 'W', '7843', '5701', 'T', '5219', '8277', 'J', '4127', '1851', 'j', '3163', '7707', '407']

46459