A130399 : correction

zak seidov zakseidov at yahoo.com
Thu Aug 9 12:58:29 CEST 2007

```Sequence ends with 30:
(and Eric's terms after 29 aint OK?!)

1,3,4,5,6,7,8,9,11,13,15,17,19,22,23,24,25,26,27,28,29,30

No term after 30, as any number m>30 shares last digit
with m-30.

Zak

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Jack Brennen <jb at brennen.net> wrote:
:Jack Brennen wrote:
:> The sequence can be infinite, correct?
:>
:> 1, 3, 11, 33, 111, 333, 1111, 3333, ...
:>
:> I suppose one might ask for the densest (or slowest growing)
:> such infinite sequence...
:>
:
:This example of such a sequence appears to end up in a pattern which
:appears at first glance to be repeatable infinitely and grows basically
:as slow as possible:
:
:
:1 -> 3 -> 4 -> 5 -> 6 -> 7 -> 8 -> 9 -> 17 -> 26 -> 37 -> 49 -> 57 -> 69
:-> 77 -> 88 -> 95 -> 177 -> 266 -> 385 -> 497 -> 558 -> 699 -> 707 ->
:866 -> 979 -> 1585 -> 2292 -> 3866 -> 4977 -> 5588 -> 6992 -> 7077 ->
:8668 -> 9793 -> 15855 -> 22929 -> 38686 -> 49797 -> 55858 -> 69962 ->
:70777 -> 86688 -> 97939 -> 158585 -> 229292 -> 386866 -> 497977 ->
:558588 -> 699662 -> 707777 -> 866888 -> 979393 -> 1585855 -> 2292929 ->
:3868686 -> 4979797 -> 5585858 -> 6996632 -> 7077777
:
:
:I don't think this particular sequence is necessarily worthy of
:inclusion in the OEIS because I suspect there are many such
:sequences, this just happens to be the one I found.

Consider all such sequences A_n (including also the finite ones).
The sequence B: B(x) = min { A_n(x) for all n } *is* uniquely defined,
and might be of slightly more interest (though considering the 'base'
nature, probably only marginally so).

Hugo

```