[seqfan] Re: Look left and say

Neil Sloane njasloane at gmail.com
Mon Nov 18 06:59:58 CET 2019


Benoit, could you explain how this is defined? 0, 1, 2, 3, 4, 5, 6, 7, 8,
9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20,
23...


On Sun, Nov 17, 2019 at 7:04 PM Benoît Jubin <benoit.jubin at gmail.com> wrote:

> It may be more natural to include descriptions like "there are 0 two's so
> far", and start with the empty sequence. This gives:
>   0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20,
> 23...
> The sequence is injective as well, with probably the same asymptotics,
> which seems to grow like Theta(n.log(n)) with a fractal behavior (I plotted
> the first 2,000,000 terms to get an idea).
>
> Benoît
>
> On Fri, Nov 15, 2019 at 1:05 AM <israel at math.ubc.ca> wrote:
>
> > Should that not be S = 0, 10, 11, 20, 12, 22, 30, 13, 23, 33, 40, 14, 24,
> > 34, 44, 50, 15, 25, 35, 45, 55, 60, 16, 26, 36, 46, 56, 66, 70, 17, 27,
> > 37,
> > 47, 57, 67, 77, 80, 18, 28, 38, 48, 58, 68, 78, 88, 90, 19, 29, 39, 49,
> > 59,
> > 69, 79, 89, ...?
> >
> > Thus after after 23 you can have 33 (three 3's) rather than 40 (four
> 0's).
> >
> > Cheers,
> > Robert
> >
> >
> > On Nov 14 2019, Éric Angelini wrote:
> >
> > > Hello SeqFans, S = 0, 10, 11, 20, 12, 22, 30, 13, 23, 40, 14, 24, 34,
> > 44,
> > > 50, 15, 25, 35, 45, 55, 60, 16, 26, 36, 46, 56, 66, 70, 17, 27, 37, 47,
> > > 57, 67, 77, 80, 18, 28, 38, 48, 58, 68, 78, 88, 90, 19, 29, 39, 49, 59,
> > > 69, 79, 89, 93,...
> > >
> > >Pick any term (except the first one) - for instance 93
> > >(at the end); this 93 says "On my left, there are
> > >9 digits "3", altogether. Which is correct: from 0 to 89
> > >(both markers included) there are exactly nine digits 3 in S.
> > >
> > >S is always extended with the smallest integer that
> > >"says the truth" about the past of S.
> > >S is started with a(1) = 0.
> > >
> > >Could someone compute more terms and submit S to the OEIS
> > >if S is not already there - with another a(1), for instance -
> > >and if S is of interest?
> > >
> > >The second part of this mail is here (with another seq proposal):
> > >https://bit.ly/2CKDqFk
> > >Best,
> > >É.
> > >
> > >--
> > >Seqfan Mailing list - http://list.seqfan.eu/
> > >
> > >
> >
> > --
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
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>



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