The absolute-normality conjecture for the Fibonacci concatenation
The absolute-normality conjecture for the Fibonacci concatenation
The Fibonacci concatenation is the infinite sequence obtained by concatenating the Fibonacci numbers. A sequence is absolutely normal if it is normal in every integer base at least .
Absolute-normality conjecture. The Fibonacci concatenation is absolutely normal.
The source gives computational evidence and explains that absolute normality would follow from normality in every base; no proof is supplied, so the conjecture remains open.
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Sources & referencesView supporting material
Primary source
Brennan Benfield and Michelle Manes, “The Fibonacci Sequence is Normal Base 10”, arXiv:2202.08986 (2022).
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