[seqfan] Re: Possibly closed expression for A026010?

[neil greubel]

By "solving" the even and odd formulas from Herbert Kociemba the
formulas are equivalent to:  (1/2)^((5 - (-1)^n)/2) * (6*n + 7 -
3*(-1)^n) * Catalan((2*n+1-(-1)^n)/4).
On Thu, Nov 8, 2018 at 12:54 PM <israel at math.ubc.ca> wrote:
>
> Your formula is equivalent to those of Herbert Kociemba.
>
> Cheers,
> Robert
>
> On Nov 8 2018, Peter wrote:
>
> >Hi seqfans,
> >
> > I've been playing with Mathematica and guess that
> >
> >A026010[n_] = 2^(-1 + n)*(((2 + 3*#)*Gamma[(1 + #)/2])/(Sqrt[Pi]*Gamma[2
> >+ #/2]) &[n + Mod[n, 2]])
> >
> >is correct (only verified it for n=0..1000).
> >
> >Best regards.
> >
> >Peter
> >
> >
> >
> >--
> >Seqfan Mailing list - http://list.seqfan.eu/
> >
> >
>
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