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: Consider Input: 4, 8, ['3573', '9813', '3867', 'i', '5291', '1987', '9811', 'A']

Output: 17089


Input: Consider Input: 2, 5, ['9615', '7859', 'D', 'J', '1471']

Output: 9330


Input: Consider Input: 3, 4, ['i', 'g', '9907', '9231']


Output: 19138