The Fibonacci numbers start with 0 and 1. The 0th Fibonacci number is 0 and the 1st is 1. From index 2 on, each Fibonacci number is the sum of the two before it.
Written as a formula, Fn=Fn−1+Fn−2 for n≥2.
The Fibonacci numbers up to n=17 are:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597
Given n, compute the sum of the Fibonacci numbers whose index is even, taken over indices 0 through n.