[seqfan] Re: A165221

franktaw at netscape.net franktaw at netscape.net
Sun Sep 11 07:22:27 CEST 2011


Doug,

Would edit this sequence, please?

Franklin T. Adams-Watters

-----Original Message-----
From: D. S. McNeil <dsm054 at gmail.com>

On Fri, Sep 9, 2011 at 9:29 PM,  <franktaw at netscape.net> wrote:
> https://oeis.org/A165221 (The Padovan sequence analog of the Fibonacci
> "rabbit" constant binary expansion....) claims in its name to be the
> concatenation of certain finite sequence, the first several of which 
are
> listed there. However, it isn't. Can anyone figure out what this is 
supposed
> to be?

I think I've got it.  I can match the examples in the title

0,1,10,01,110,1001,01110,1101001,100101110,011101101001

except for the last one, which I think should be 01101101001.  The
sequence is the concatenation of the terms after applying the map
described, with each term from right to left.

sage: m = [A165221(i) for i in [1..30]]
sage: h = [0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0,
0, 1, 0, 1, 1]
sage: m
[0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0,
1, 1, 0, 1, 1, 1, 0]
sage: h
[0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 
1, 1]


Doug

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