[seqfan] Re: A168002 = A079559 ?.

[franktaw at netscape.net]

I'm certain that they are, although I don't have a complete proof.

The toothpick sequence (and other sequences  like it) exhibits 
quasi-periodic behavior, shutting down to the same small increment at 
each power of 2. In the case of A15300, the increment is 1 from 2^n-2 
to 2^n-1. Generally, each such generation first replicates the history 
of the sequence to that point, then repeats it again with a regular 
modification. So the pattern in Omar's arrangement of the sequence will 
repeat in later generations. Since A079559 has the same pattern, the 
sequences are the same.

Franklin T. Adams-Watters

-----Original Message-----
From: Omar E. Pol <info at polprimos.com>

Dear Professors,

If n >= 1, are these sequences identical?

https://oeis.org/A168002

https://oeis.org/A079559

Best regards,

Omar E. Pol