[seqfan] Re: Re a < b < c < d < e < f < q < h

neil greubel jthomae at gmail.com
Fri May 25 03:57:42 CEST 2018


Without a sense of why these equations are important they just seem like
good examples to uae for root finding but not much else.

Another note is that some of the numerical values given are off from their
more true values,  say for example that the equation for d is solved with
d=1/2, and at least one of the equations have more than one root.

On Thu, May 24, 2018, 9:38 PM Chai Wah Wu <cwwuieee at gmail.com> wrote:

> d = 0.5 and e = phi -1 or e = -phi.
>
> On Wednesday, May 23, 2018, юрий герасимов <2stepan at rambler.ru> wrote:
>
> > Dear SeqFans.
> >
> > Decimal expansion of the solution to (1 + a)*a^a = (1 - a)^a: 2, 9, 3, 9,
> > 4, ...
> >
> > Decimal expansion of the solution to (1 + b)*b^(1 - b) = b^b: 3, 5, 4, 0,
> > 8, ...
> >
> > Decimal expansion of the solution to (1 - c)*(1 + c)^c = c^c: 3, 9, 1, 1,
> > 1, ...
> >
> > Decimal expansion of the solution to (1 - d)*d^d = d^(1 + d): 4, 9, 9, 9,
> > 2, ...
> >
> > Decimal expansion of the solution to (e + 1)*e^e = e^(e - 1): 6, 1, 8, 0,
> > 7, ...
> >
> > Decimal expansion of the solution to (f - 1)*f^(f + 1) = f^f: 1. 6, 1, 8,
> > 0, ...
> >
> > Decimal expansion of the solution to (g + 1)*(g - 1)^g = g^g: 2, 5, 5, 5,
> > 9, ...
> >
> > Decimal expansion of the solution to (h - 1)*h^h = (h + 1)^h: 3, 4, 0, 2,
> > 9, ...
> >
> >
> > This sequences are the general interest for OEIS? Thanks. JSG, Mar 30
> 2018
> >
> > Dear SeqFans,
> >
> > Golden ratio phi (or tau) = (1 + sqrt(5))/2 = f ?
> >
> > Thanks. JSG, May 23 2018
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>


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