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Background
We all know the famous Fibonacci sequence, where each term is the sum of the previous two, with the first term being 0 and the second one being 1. The first few elements are:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765
What we are going ...