More on Leroy Quet's permutation transform
Leroy Quet
qq-quet at mindspring.com
Fri Dec 17 18:10:02 CET 2004
David Wasserman wrote:
>To Leroy Quet: Do you think it's appropriate for me to refer to it as the
>"Quet transform"? Since no one has posted a reference, I'm assuming it's
>original. However, maybe you have invented (or will invent) some other
>transform that you'd rather give your name to.
>
>v/r,
>David
>----------------------------------
Sure, why not.
I have thought up other transforms, but we can call this one Quet's
transform involving permutations, or something.
:)
I have a conjecture for seq.fan that I am having trouble solving myself.
If your start sequence is:
1, 1, 1, 2, 1, 3, 1, 4, 1, 5, 1, 6,...
([1,m] repeated),
then does the "Quet transform" yield
1, 1, 1, 2, 1, 2, 3, 1, 3, 4, 1, 4, 5, 1, 5,
([m,1,m] repeated)?
(So we have a sequence where the 1's occurring every 2 terms being
transformed (maybe) into a sequence where the 1's occur every 3 terms.)
thanks,
Leroy Quet
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