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: 1, 4, ['261', '6237', '3809', '1857']

Output: 12164


Input: Consider Input: 2, 3, ['h', 'w', '3397']

Output: 3397


Input: Consider Input: 2, 4, ['b', '6387', '2967', '7433']


Output: 16787