A064970 ??

[Dean Hickerson]

Franklin T. Adams-Watters wrote:

> The title to this sequence is "Related to Recaman's sequence A005132
> (details will be filled in presently)."  It's been over four years, and
> no details have been filled in.
> 
> Can anybody figure out what it is?
 
Except for the 1 at the start, the terms appear to be the values of n for
which r(n)-r(n-1) and r(n-1)-r(n-2) have the same sign, where
r(n) = A005132(n).  E.g. going from r(4)=2 to r(5)=7 to r(6)=13 we
increase twice in a row, so 6 is in A064970.  Going from r(21)=63 to
r(22)=41 to r(23)=18 we decrease twice in a row, so 23 is in A064970.

Dean Hickerson
dean at math.ucdavis.edu