Problem with A085839

Robert G. Wilson v rgwv at rgwv.com
Wed Apr 26 22:09:07 CEST 2006


Everyone,

	The title should be a(0)=1, a(1)=3, a(n)=floor[(pi+1/pi)*a(n-1)-a(n-2)].

	I have verified this with Mathematica using: a[0] = 1; a[1] = 3; a[2] = 9; a[3] = 28;
  a[n_] := a[n] = Floor[(Pi + 1/Pi)a[n - 1] - a[n - 2]]; Table[a[n], {n, 0, 25}]
and all terms agree.

Bob.

franktaw at netscape.net wrote:

> The definition of A085839 does not match its values.
>  
> Through n=10, it matches a(n+1) = floor(Pi*a(n)), but thereafter it 
> diverges.  (This seems like a more interesting sequence - it's what I 
> was looking up, and it isn't there.)
>  
> I'm not sure what this is supposed to be.
>  
> Franklin T. Adams-Watters
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