How to find the Product of Consecutive Fib Numbers in Python
0, 0, 1, 0, 2, 0, 2, 2, 1, 6, 0, 5, 0, 2, 6, 5, 4, 0, 5, 3, 0, 3, …
This is the Van Eck’s Sequence.
Let’s go through it step by step.
Term 1: The first term is 0. Term 2: Since we haven’t seen 0 before, the second term is 0. Term 3: Since we had seen a 0 before, one step back, the third term is 1 Term 4: Since we haven’t seen a 1 before, the fourth term is 0 Term 5: Since we had seen a 0 before, two steps back, the fifth term is 2. And so on…
Your task is to find the n_th number in Van Eck’s Sequence. (1based)
The Solution in Python
Option 1
Option 2
Option 3
Test cases to validate the solution

