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: 5, 13, ['6637', '803', '3777', '9545', 'o', '3291', '4073', 'i', 'J', '3531', '7705', '5035', 'v', 'E', '551', '2877', 'm', '5699', 'c', '9969', 'u', 'R', 'q', '3303']

23635