A sequence related to Lionel Levile's sequence?

[Floor en Lyanne van Lamoen]

Alexandre,

Thank you.

Indeed my sequence differs only in the first couple of places from Golomb's
sequence, but I don't see how to translate my comment to A001462.

Kind regars,
Floor.

> -----Oorspronkelijk bericht-----
> Van: Alexandre Wajnberg [mailto:alexandre.wajnberg at skynet.be]
> Verzonden: vrijdag 4 november 2005 16:55
> Aan: Floor en Lyanne van Lamoen; Seqfan
> Onderwerp: Re : A sequence related to Lionel Levile's sequence?
> 
> 
> Looks like Golomb's sequence A001462:
> 
> ID Number: A001462 (Formerly M0257 and N0091)
> URL:       http://www.research.att.com/projects/OEIS?Anum=A001462
> Sequence:  1,2,2,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,9,10,
>            10,10,10,10,11,11,11,11,11,12,12,12,12,12,12,13,13,13,13,13,
>            13,14,14,14,14,14,14,15,15,15,15,15,15,16,16,16,16,16,16,16,
>            17,17,17,17,17,17,17,18,18,18,18,18,18,18,19
> Name:      Golomb's sequence: a(n) is the number of times n occurs,
> starting
> with a(1) = 1.
> Comments:  It is understood that a(n) is taken to be the smallest number
> >=
>               a(n-1) which is compatible with the description.
>            Also called Silverman's sequence.
>            Vardi gives several identities satisfied by A001463 and this
>               sequence.
> 
> May be your Comment should be added to Golombs.
> 
> Alexandre
> 
> ---------------------------------------
> 
> > I just submitted the following sequence:
> >
> > %I A113676
> > %S A113675
> >
> 1,2,3,3,4,4,4,5,5,5,6,6,6,6,7,7,7,7,8,8,8,8,9,9,9,9,9,10,10,10,10,10,11,11
> ,1
> >
> 1,11,11,12,12,12,12,12,12,13,13,13,13,13,13,14,14,14,14,14,14,15,15,15,15,
> 15
> >
> ,15,16,16,16,16,16,16,16,17,17,17,17,17,17,17,18,18,18,18,18,18,18,19,19,1
> 9,
> > 19,19,19,19
> > %N A113675 Nondecreasing sequence in which a(n) describes how many times
> n+1
> > is in the sequence, with a(1)=1.
> > %C A113675 This sequence can be divided into rows forming a triangle as
> > follows: start with a(1)=1 as the first row. The row sum of row n-1
> gives
> > the number of elements in row n. This triangle starts 1; 2; 3,3;
> > 4,4,4,5,5,5; ...
> > The final elements of this row seem to form Lionel Levile's sequence
> > A014644, except that 2 isn't duplicate.
> > %e A113675 a(9)=5 so 10 appears five times in the sequence.
> > %O A113675 1
> > %K A113675 nonn,easy
> > %A A113675 Floor van Lamoen (fvlamoen at hotmail.com), Nov 04 2005
> >
> > I cannot fully understand if indeed we find Lionel Levile's sequence as
> > described. Perhaps I am missing something.
> >
> > Kind regards,
> > Floor.
> >
> >