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: 9, 13, ['6195', 'k', '6835', 'u', '4049', '3063', 'N', 'q', 'R', 'Y', '8573', 'r', '2037', 'w', 'D', 'Y', '9849', 'T', '2245', '6999']

Output: 10610


Input: Consider Input: 8, 9, ['P', 'V', '5567', 'm', 'V', '9533', '2381', '1095', '835', 'B', 'z', 'J', 'H', 't', 'b', 'z', 'e']

Output: 1930


Input: Consider Input: 15, 16, ['T', '3315', '8497', 'H', 'R', 'K', 'u', '919', '2193', '2957', '3051', '7899', 't', '7815', 'c', '8567', '7065', '4293']


Output: 8567