[seqfan] Re: Plot Of A160855

[franktaw at netscape.net]

The first step in answering this kind of question is to determine what 
those lines are.  What are the slopes and intercepts?  If you have 
that, it might be easy to see why they appear.  This is something that 
you can and should do for yourself, Leroy.

Franklin T. Adams-Watters


-----Original Message-----
From: Leroy Quet <q1qq2qqq3qqqq at yahoo.com>

A160855 is:
a(n) = the smallest positive integer not occurring earlier in the 
sequence such
that sum{k=1 to n} a(k) written in binary contains binary n as a 
substring.

(1, 3, 2, 6, 8, 4, 5, 11, 10, 24, 12, 13, 7, 9, 28, 17, 36, 14, 20, 
46,...)

Now, after Ray Chandler, I think it was, extended this sequence out for 
many
terms, its scatter-plot was at that point rather interesting, in my 
opinion.

But now that H. v. Eitzen has extended the sequence out to 100000 
terms, the
scatter-plot is even more interesting.

What explains the radiating lines, or explains the seeming random blobs 
seen
when the scatter-plot is taken to a smaller number of terms?

I must be missing something obvious as to why these structures occur. 
What kinds
of structures are seen when the plot is taken even farther out, I 
wonder?

Thanks,
Leroy Quet