[seqfan] Re: Possibly closed expression for A026010?

jean-paul allouche jean-paul.allouche at imj-prg.fr
Thu Nov 8 19:03:50 CET 2018


Hi

I guess (though I did not look at it closely enough) that
this formula as well as the conjectures in A026010 are
proved in (or are "easily" provable from) the paper by
Krattenthaler and Yaqubi (with k=2 there), aren't they?

best
jean-paul


Le 08/11/2018 à 18:54, israel at math.ubc.ca a écrit :
> 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/
>>
>>
>
> -- 
> Seqfan Mailing list - http://list.seqfan.eu/




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