Array of repeated conversions from decimal to base k

Jonathan Post jvospost3 at gmail.com
Thu Dec 28 20:12:35 CET 2006


Frank:

You're right, I'm wrong. Thank you.

The only way to get rid of the arbitrariness is to go to a 5-D array
T(i,j,k,m,n) where the seed in i, the conversion is from base j to base k,
written in base m, and n is the position in the row. Way too much trouble!

There are a small number of pieces of this in OEIS, besides those already
mentioned, such as:
A023389
A023391
and others in that cluster (which lacks xrefs).

Neil:

Thank you.  That's the right way to go.  My "main diagonal" is too
artificial.

-- Jonathan Vos Post

On 12/28/06, N. J. A. Sloane <njas at research.att.com> wrote:
>
> JVP said:
>
> The table begins as (row is what A-number):
>
> 1 | 10, 1111111111, ...
> 2 | 10, 1010, 1111110010, ... (A006937)
> 3 | 10, 101, 10202, 111222212, ... (A023372)
> 4 | 10, 22, 112, 1300, 110110, ... (A023378)
> 5 | 10, 20, 40, 130, 1010, 13020, ... (A023383)
> 6 | 10, 14, 22, 34, 54, 130, 334, 1314, ... (A023387)
> 7 | 10, 13, 16, 22, 31, 43, 61, 115, ... (A023390)
> 8 | 10, 12, 14, 16, 20, 24, 30, 36, 44, 54, ... (A008557)
> 9 | 10, 11, 12, 13, 14, 15, 16, 17, 18, 20, 22, ... (A023392)
> 10| 10, 10, 10, 10, 10, 10, 10, 10, ... (A010692)
>
> Me: This is material that I will put into the index rather
> than a new sequence.
>
> Neil
>
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