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Jan 4, 2017 at 19:45 comment added Gro-Tsen My guess would be: this is true for any real number $r$ between $3/2$ inclusive and $5/3$ exclusive. (This is an experimental observation, I don't have a proof.)
Jan 4, 2017 at 16:14 history edited Clark Kimberling CC BY-SA 3.0
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Jan 3, 2017 at 15:54 comment added Pat Devlin Could you please write out the first few terms in this expansion?
Dec 28, 2016 at 20:26 comment added Pietro Majer Sequence $\lfloor nr\rfloor$ in OEIS: oeis.org/A000201
Dec 27, 2016 at 22:24 comment added T. Amdeberhan This should work for $r=F_{t+1}/F_t$ for $t\geq5$; where $F_t$'s are the Fibonacci numbers.
Dec 27, 2016 at 20:56 history asked Clark Kimberling CC BY-SA 3.0