# [seqfan] Re: minima of certain sets(recursive)

Robert G. Wilson, v rgwv at rgwv.com
Tue Jan 19 15:30:00 CET 2010

```Dear Tobias,

Sincerely yours, Bob.

--------------------------------------------------
From: "Tobias Friedrich" <Tobias.Friedrich at stmail.uni-bayreuth.de>
Sent: Monday, January 18, 2010 7:12 AM
To: <seqfan at list.seqfan.eu>
Subject: [seqfan]  minima of certain sets(recursive)

> Hello,
>
> How can you decide if a number occurs in this sequence?
>
> M_0={}
> a_n=min(N\( {2x_1+3x_2| x_1,x_2 in M_{n-1}} u M_{n-1} ))
> M_n=M_{n-1} u {a_n}
>
>
> Sorry for my bad formating.
> This file include formulas and some diagrams. You can see that there are some
> "steps" in the sequnce.
> http://tobispace.to.funpic.de/folge.pdf
>
> Sequence:
> 1, 2, 3, 4, 6, 19, 23, 25, 27, 28, 29, 31, 32, 33, 34, 35, 36, 37, 38, 39,
> 40,...
> http://tobispace.to.funpic.de/fach.txt (Sequence to  49999792)
>
>
> Moreover you can make generalizations, i.e. you can change the coefficients 2,3
> or you can change the number of variables x_1,x_2,x_3,...
>
> But this example is the simplest non trivial example.
>
> Sincerely yours,
>
> Tobias Friedrichy yours,
>
>
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/

```