How can I proof my conjecture?

Hello everybody,

I'm trying to proof a certain conjecture I invented myself for quite a long time now but in fact I have no idea how to do this.

The conjecture says:

For the function

http://www.mymathforum.com/cgi-bin/m...3%5E%7Bb%7D%7D

with

http://www.mymathforum.com/cgi-bin/m...7D%5Ccdot2%5E0

http://www.mymathforum.com/cgi-bin/m...0...%20%3E%200

a_1,a_2,a_3,a_4,... <d

and

http://www.mymathforum.com/cgi-bin/m...%20d%5Cleq%20c

exists no natural result exept form 1, 2 and 4.

I tried so hard to find an argument that proves this assumption but it didn't work so far. Has anybody an idea?

I would be really glad if there was somebody who could help me.

rgds maddio14