Average of Gijswijt's sequence

[franktaw at netscape.net]

Yes.  I guess I didn't look closely enough.

What I was really wondering was whether this can be expressed in terms 
of
known constants.  But I guess we don't have enough information to
determine that.

Franklin T. Adams-Watters

-----Original Message-----
From: Maximilian Hasler <maximilian.hasler at gmail.com>

On 1/24/08, franktaw at netscape.net <franktaw at netscape.net> wrote:
> Does A090822 (Gijswijt's sequence) have a finite average?
> (I think it must.)  It appears to be about 1.68.  Does anyone know 
what it is?

given the cited observation,

 "...the fraction of [1's, 2's, 3's, 4's] seems to converge, to about
[.287, .530, .179, .005]..."

that average should be the dot product of these vectors, i.e. 1.904
(well, modulo rounding errors making that these percentages add up to
more than 1...)
or am I wrong again ?

Maximilian

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