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: 8, 15, ['v', '3817', 'u', 'w', 'Z', '5051', '8309', 't', 'j', '8895', '319', 'L', '567', 'W', 'S', '4565', 'G', 'u', '8813', '7269', '5043']

9781