[seqfan] minima of certain sets(recursive)
Tobias Friedrich
Tobias.Friedrich at stmail.uni-bayreuth.de
Mon Jan 18 13:12:45 CET 2010
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,
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