[seqfan] Re: A165221

[D. S. McNeil]

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