Timeline for What are the values of this sequence?

11 events

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Jan 1, 2015 at 17:34	comment	added	Victor Kleptsyn		Did you try using Proposition 1 of the paper you cite? For instance, its third conclusion says that $a(F_{n+1}-1)=a(F_{n-3}-1)$, and as your conjecture holds for first 4 values of $n$, it thus holds always (and moreover, you get an explicit formula -- signs are $-,-,+,+$ with a period of four).
Dec 31, 2014 at 7:04	comment	added	joro		@DavidS.Newman I don't get numerical support for your claim.
Dec 31, 2014 at 4:07	comment	added	David S. Newman		My guess about a(F_n-1) being odd was true for the first 21 values of n, but not true for larger values.
Dec 31, 2014 at 3:37	comment	added	Gjergji Zaimi		I seem to remember having done this problem as an exercise in Stanley's EC1. If memory serves correct a(n) is odd iff all the strings of consecutive zeros in the Zeckendorff representation of n are odd.
Dec 31, 2014 at 2:25	history	edited	David S. Newman	CC BY-SA 3.0	I changed a(F_n) to read a(F_n-1) to correct some confusion about the coefficient of the constant term
S Dec 30, 2014 at 23:09	history	suggested	Tadashi		Added relevant tag
Dec 30, 2014 at 22:56	review	Suggested edits
S Dec 30, 2014 at 23:09
Dec 30, 2014 at 22:43	history	edited	David S. Newman	CC BY-SA 3.0	Added missing parentheses
S Dec 30, 2014 at 22:40	history	suggested	barak manos	CC BY-SA 3.0	Add some LaTex
Dec 30, 2014 at 22:32	review	Suggested edits
S Dec 30, 2014 at 22:40
Dec 30, 2014 at 22:24	history	asked	David S. Newman	CC BY-SA 3.0