[seqfan] Re: First differences are the sums of the two digits touching the commas

[Eric Angelini]

Thank you, Jack -- this is exactly what I was looking for,
Best,
É.
(some integers can be followed by two integers, as you
will have noticed:
14 --> 19 or 20
28 --> 39 or 40
... but this doesn't change much)



-----Message d'origine-----
De : Jack Brennen [mailto:jfb at brennen.net] 
Envoyé : mardi 4 octobre 2011 17:49
À : Sequence Fanatics Discussion list; Eric Angelini
Objet : Re: [seqfan] First differences are the sums of the two digits touching the commas

This sequence stops after 123 terms.  The 123rd term is 989,
which has no possible successor.

It looks like many low starting points lead to 989 and halt there.

The smallest starting point which goes beyond that seems to be
the number 396 (which has no possible predecessor).  The sequence
beginning with 396 goes on for quite some distance.  I traced it
up to values in excess of 20 million (over 3 million terms).



On 10/4/2011 5:53 AM, Eric Angelini wrote:
>
> Hello SeqFans,
>
> S = 0,5,11,13,17,26,35,44,53,62,71,79,97,105,111,113,117,...
>
> Consider the first comma; its closest digits are 0 and 5;
> add 0 to 5; the sum (5) is the first difference between 0 and 5.
>
> Consider the second comma; its closest digits are 5 and 1;
> add 5 to 1; the sum (6) is the first difference between 5 and 11.
> Etc.
>
> Does S stop at some point? If yes, could another -longer- S arise
> from a different start?
>
> Best,
> É.
>
>
>
>
>
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