[seqfan] Re: Oresme Numbers

Charles Greathouse charles.greathouse at case.edu
Wed Mar 2 15:34:56 CET 2016


It may be worth mentioning that the first reference
(*) https://fr.wikipedia.org/wiki/Autosuite_de_nombres
was written by (a user identified as) Paul Curtz, and that other
contributors to the French Wikipedia have marked the article as containing
unpublished claims.

Paul's article does cite the OEIS, for what it's worth: A011973 and A034807.

Charles Greathouse
Analyst/Programmer
Case Western Reserve University

On Mon, Feb 29, 2016 at 5:27 AM, Paul Curtz <bpcrtz at free.fr> wrote:

> Hello,
>
> (Full) Fibonacci numbers F(n)=A000045(n) are an autosequence of the first
> kind (*).
> (Full) Oresme numbers O(n)= n*2^(-n),n>=0,are also an autosequence of the
> first kind (**):
>
> 0,    1/2,  1/2,  3/8,   1/4,  5/32, ...
> -1/2,   0, -1/8, -1/8, -3/32, -1/16, -5/128, ...
> 1/2, -1/8,    0, 1/32,  1/32,  3/128,  1/64, 5/512, ...
> etc.
> Numerators of O(n): 0 followed by A000265(n+1).
> Denominators: 1 followed by A075101(n+1).
>
> (*) Autosuite de nombres - Wikipedia, 2016
> (**) A. F. Horadam, Oresme numbers, Fibonacci Quarterly, 12(1974), 267-271.
>
> Best regards
> Paul
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>


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