[seqfan] Re: A080605 Golomb seq samples extra 23

Neil Sloane njasloane at gmail.com
Thu May 31 19:25:35 CEST 2012


Benoit, Can you make the corrections to A080605 please?
Thanks! Neil

On Thu, May 31, 2012 at 8:06 AM, Benoit Cloitre <benoit7848c at orange.fr>wrote:

> Thanks for catching this. Indeed there was a "paste" problem. Here my pari
> code
>
>  a=[1,3,3,3];for(n=3,20,for(i=1,a[n],a=concat(a,2*n-1)));a
>
> giving
>
> 1,
> 3, 3, 3, 5, 5, 5, 7, 7, 7,
> 9, 9, 9, 9, 9, 11, 11, 11, 11, 11, 13, 13, 13, 13, 13,
> 15, 15, 15, 15, 15, 15, 15, 17, 17, 17, 17, 17, 17, 17, 19, 19, 19, 19,
> 19, 19, 19,
> 21, 21, 21, 21, 21, 21, 21, 21, 21, 23, 23, 23, 23, 23, 23, 23, 23, 23,
> 25, 25, 25, 25, 25, 25, 25, 25, 25, 27, 27, 27, 27, 27, 27, 27, 27, 27, 29,
> 29, 29, 29, 29, 29, 29, 29, 29,
> 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 33, 33, 33, 33, 33, 33, 33,
> 33, 33, 33, 33, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 35, 37, 37, 37, 37,
> 37, 37, 37, 37, 37, 37, 37, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39,...
>
> Also my comment A080605(n)=tau^(2-tau)*(2n)^(tau-1)+O(1) is wrong since
> Vardy method gives  O(n^(tau-1)/log(n)) instead of O(1).
>
> BC
>
>
> Le 31 mai 2012 à 00:45, Kevin Ryde a écrit :
>
> > In A080605 an odd numbers Golomb sequence, ie. its own run lengths of
> > odd numbers, there might be a stray extra 23 in the sample values
> >
> >     1,
> >     3,  3,  3,                               <- 3 of
> >     5,  5,  5,
> >     7,  7,  7,
> >     9,  9,  9,  9,  9,                       <- 5 of
> >    11, 11, 11, 11, 11,
> >    13, 13, 13, 13, 13,
> >    15, 15, 15, 15, 15, 15, 15,               <- 7 of
> >    17, 17, 17, 17, 17, 17, 17,
> >    19, 19, 19, 19, 19, 19, 19,
> >    21, 21, 21, 21, 21, 21, 21, 21, 21,       <- 9 of
> >    23, 23, 23, 23, 23, 23, 23, 23, 23, 23,   <- 10 of
> >    25, 25, 25, 25, 25, 25, 25, 25, 25
> >
> > At that 23s stage it would be a block of 9 many 23s would it, not 10?
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
>
>
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>
> Seqfan Mailing list - http://list.seqfan.eu/
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-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
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Email: njasloane at gmail.com



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