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USDale Gerdemann
 

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  1. USDale Gerdemann
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    3. POConversion between Zeckendorf and Golden Ratio Base
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    1. COThanks. Nice answer! Meanwhile, I've written a paper on the topic : Zeckendorf Family Identities published in the Fibonacci Quarterly and this paper is starting to get a few interesting citations. And I see to have independently discovered this ternary mirror symmetric arithmetic. I was really surprised. I sent it to George Bergman (who was surprised too) and I made a YouTube video about it. I also made a YouTube video relating Golden Ratio Base to the representations of Zeckendorf and Martin Bunder. To generate a sequence of Z- (or B=)reps, generatto GR-base and toss neg digits and repeats
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    2. COHave a look at: https://oeis.org/A007895. You might also get some inspiration from: https://oeis.org/A055778. It seems that A055778 is an upper bound for A007895 with equality occurring at 1, 7, 18, 19, 47, 48, 54, ... (a sequence that is clearly related to: https://oeis.org/A000032). I've just now submitted this observation to the OEIS (Online Encyclopedia of Integer Sequences).
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      1. POCounting the bits set in the Fibonacci number system?
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    3. COYour SA corpus must include Abouelhoda et al. And I would add the "Linearized Suffix trees" paper by Kim et al. The latter has a good "review of the literature" section which really helps to get through some of the more obscure parts of Abouelhoda. For suffix arrays from a "recreational mathematics" perspective, read Klaus Shürman's book.
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