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: 4, 13, ['R', '9007', 'A', 'o', 'w', '9095', '409', '4123', 'I', '105', 'v', '153', '4493']

18378