[seqfan] Re: Oresme Numbers
Olivier Gerard
olivier.gerard at gmail.com
Mon Feb 29 11:46:59 CET 2016
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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