[seqfan] Re: Look and Say novelty? (correction)

[Maximilian Hasler]

On Thu, Jan 29, 2009 at 8:16 AM, Eric Angelini <Eric.Angelini at kntv.be> wrote:

> S = 22, 3233, 424344
>              52535455
>              6263646566
>              727374757677
>              82838485868788
>              9293949596979899
>
> ... a(n) says: "Look, we have so far in the sequence (including my
> digits), this quantity of digits 'a', that quantity of digits 'b',
> etc."

There's something funny.
I tried to get the term after :

>              9293949596979899

It should be:
8 0 __ 1 10 2 10 3 10 4 10 5 10 6 10 7 11 8 10 9
(eight(?) zero's, ??? "1"s, ten "2"s, ten "3"s,... )

are we stuck ?
at present I see 10 "1"s, without their count. so it will be between
>=10 (and <20), thus at least 11.
But if we put 11, then we have 12 "1"s
if we put something >11, then we have 11 "1"s...
oh no, wait... if we put 12, then we have 11 "2"s, so there's one "1"
more... does this work ?

7 0 12 1 11 2 10 3 10 4 10 5 10 6 11 7 10 8 10 9

It seems ok ! ??

But like a miracle... it could well not have worked.
Then what? is is always possible to make a modification to get a
consistent term ?
how to choose it , if the "natural" way does not work ?
Or should the sequence then be considered finite ?

M.