The non-negative difference between two numbers \(a\) and \(b\) is \(b-a\) or \(a-b\), whichever is greater than or equal to \(0\). For example, the non-negative difference between \(24\) and \(64\) is \(40\).
Consider the sequence with first term \(74\), second term \(60\), and each term after equal to the non-negative difference between the previous two terms. That is, the third term is \(74-60=14\), the fourth term is \(60-14=46\), and the fifth term is \(46-14 = 32\). So, the first five terms in the sequence are: \[74, 60, 14, 46, 32\]
Determine the sum of the first \(1306\) terms in the sequence.