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: 11, 16, ['8617', '6133', '5505', '6601', 'y', 'a', '1019', 'r', 'P', 'd', 'P', '9647', '9831', 'I', 'z', 'k', '749', '8975']

Output: 19478


Input: Consider Input: 1, 6, ['S', 'i', 'F', 'w', '6345', 'L', '9727', 'u', 'F', '7911', 'K', '3151', '6181', 'N', 'a']

Output: 6345


Input: Consider Input: 3, 6, ['7301', 'X', '645', 'i', 'D', '3481']


Output: 4126