[seqfan] Re: Brute force density: triples and cubes

[Bob Selcoe]

Hi again Eric,

Reviewing T, it appears there is (for lack of a better term) a "quasi-loop". 
Given:

T = 
50,15,0,3,15,0,9,3,15,0,27,9,3,15,0,6,21,27,9,3,15,0,18,6,3,6,21,27,9,3,15,0,3,24,...

Evaluate the sequences between the 0's:

                                                              0,    15,    0
                                                       0,    3,    15,    0
                                                0,    9,    3,    15,    0
                                       0,    27,    9,    3,    15,    0
                       0,    6,    21,    27,    9,    3,    15,    0
0,    18,    6,    3,    6,    21,    27,    9,    3,    15,    0

So starting with "last 0" going backwards, each succeeding sequence is the 
prior sequence plus some additional digits.  It appears the number of these 
additional digits is the first differences of A000930.

Cheers,
Bob


--------------------------------------------------
From: "Eric Angelini" <Eric.Angelini at kntv.be>
Sent: Wednesday, October 01, 2014 8:12 AM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Subject: [seqfan] Brute force density: triples and cubes

>
> Hello SeqFans,
> is T containing 10% of 0s, 10% of 1s, 10% of 2s,... 10% of 9s?
>
> T starts with 50 and is always extended with the triple of the
> leftmost digit not yet tripled in T.
>
> T = 
> 50,15,0,3,15,0,9,3,15,0,27,9,3,15,0,6,21,27,9,3,15,0,18,6,3,6,21,27,9,3,15,0,3,24,...
> (if T enters into a loop, the question is closed -- but I can't
> find one).
>
> I would have the same question with Q: Q starts with 90 and is
> always extended with the cube of the leftmost digit not yet cubed
> in Q.
>
> Q = 
> 90,729,0,343,8,729,0,27,64,27,512,343,8,729,0,8,343,216,64,8,343,125,1,8,27,64,27,...
>
> Best,
> É.
>
>
>
>
>
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