[seqfan] Re: Oresme Numbers

[Paul Curtz]

Cher Olivier,

Non. C'est une simple annonce. J'attends l'autorisation de proposer O(n).

Paul

----- Mail original -----
De: "Olivier Gerard" <olivier.gerard at gmail.com>
À: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Envoyé: Lundi 29 Février 2016 11:46:59
Objet: [seqfan] Re: Oresme Numbers

Dear Paul,

Do you have a question about these or related sequences ?

Olivier


On Mon, Feb 29, 2016 at 11:27 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
>
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