185 is special

Jon Schoenfield jonscho at hiwaay.net
Sun Jun 3 06:56:46 CEST 2007


Zak,

<<  Anyone has a clue?  >>

I frequently feel clueless, but not this time.  (I guess that means this 
problem is special.)  ;-)

Start with a(1) = 185 (because it's special <g>);
then a(n+1) = a(n), taken as a base-10 number and converted to base (b(n)+1)
                         where b(n) = the largest digit of a(n)
E.g.,

largest digit in 185 is 8, and 185 (base 10) converted to base 9 is 225;
largest digit in 225 is 5, and 225 (base 10) converted to base 6 is 1013;
largest digit in 1013 is 3, and 1013 (base 10) converted to base 4 is 33311 
....

Did I get it right?

-- Jon

----- Original Message ----- 
From: "zak seidov" <zakseidov at yahoo.com>
To: "Sequence Fans" <seqfan at ext.jussieu.fr>
Sent: Saturday, June 02, 2007 10:53 PM
Subject: Re: 185 is special


> Puzzle sequence
> (found in my archive, clue is lost):
> 185,225,1013,33311,20020133,
> 1030113232211,
> 32333113202020111103,...
> I guess that though 185 is a rather arbitrary a(1),
> other terms  are not arbitrary.
> Anyone has a clue?
> Zak
>
>
>
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