Identification of fractional sequences

N. J. A. Sloane njas at research.att.com
Sat Apr 21 03:40:25 CEST 2007


sequence {b(n)} - try them all!
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From: Valery Liskovets <liskov at im.bas-net.by>
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   Maximilian Hasler <maximilian.hasler at gmail.com>, seqfan at ext.jussieu.fr
Subject: Re: Identification of fractional sequences
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Dear Neil,

I see, a good advise. But it implies I think that I may need,
in principle, in most unclear cases, be capable to identify all
integer sequences c(n) (at least "nice") in the OEIS divisible
elementwise (at least for starting n) by b(n) (or by a(n), instead).
This doesn't look an easy task.

Valery Liskovets

"N. J. A. Sloane" wrote:

> Valery,  you said:
>
> > Thanks! But will this work if the denominators and numerators
> > are in reality more complicated than factorials but still
> > quite familiar sequences whose corresponding elements are
> > sometimes simultaneously even or/and divisible by 3, etc.?
>
> My answer: normalize the denominators so that they
> are some recognziable sequence:
>
> That is, write f(n) = a(n)/b(n), where you understand b(n).
>
> Now concentrate on a(n), which you
> can look up in the OEIS, send to superseeker, etc.
>
> Of course they will be several choices for the denominator
> sequence {b(n)} - try them all!
>
> Neil






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