Fibonacci's Missing Flowers

[Olivier Gerard]

Thanks Hans for this link,

I expect that the members of seqfan who read the article
have noticed the lack of rigor of Cooke's table.

The first two rows do not give the exact count of matching
sequences.  Cooke seems to have just examined the
first 100 sequences (those returned by a normal query
at the time) to check whether they were related to Fibonacci or not.

The result is that the count of Fibonacci-related
sequences is presented as small in the first two rows
because the sample is biased to the first 100 sorted
numerically and then is becoming higher in the
next rows as soon as the whole sample has been used.

The current numbers of sequences starting   1,2,3,5
is 1706  and for those starting  1,2,3,5,8 , it is  293.

If those numbers had appeared in the original articles,
it would have reinforced the arguments they develop among
which is that just a few small, isolated, small integers are not enough
to conclude, and they would have given a correct picture
of the great variety found in the OEIS.

Olivier


On 6/6/06, Hans Havermann <pxp at rogers.com> wrote:
>
> Ivars Peterson uses a Todd J. Cooke's article in the Botanical
> Journal of the Linnean Society to mention the On-Line Encyclopedia of
> Integer Sequences...
>
> http://www.sciencenews.org/articles/20060603/mathtrek.asp
>
> The link to Cooke's article is there as well.
>
>
>
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