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Non consecutive isn't surprising, any consecutive Fibonacci numbers in the sum can be replaced with their sum, which is itself a Fibonacci number by definition
by muti 2y ago
Non consecutive isn't surprising, any consecutive Fibonacci numbers in the sum can be replaced with their sum, which is itself a Fibonacci number by definition
- lupire 2y agoThat's not sufficient to be unsurprising. What if a sum has more than 2 consecutive Fibonacci numbers? That doesn't cause a problem, but it takes a little more work to sort it out.
- muti 2y agoI find the distinct property much more interesting and non obvious. It looks like non consecutivity is only there to force unique solutions hence called zeckendorf representations