[seqfan] Re: Re 2 seqs with diffs distinct

[zak seidov]

Dear Neil,

as you rightly wrote in your first message in this thread:

"There are many solutions.One might try looking for
the earliest A in lexicographic order.
Or,alternatively,look for the earliest {A union B},which is probably better."

Only one example of "many solutions":
let's start with "seed" A & B:

A={0,1,2,3,4,5,6,7}; B={0,15},

then we (may) get

A={0,1,2,3,4,5,6,7,31,66,105,148,195,258,260,323,404,424,...},
B={0,15,48,85,126,172,220,287,297,372,459,497,...}.

Many other versions may be obtained even with the same seed A,B.

Anyway I think that a more detailed description should be given
how the particular seqs A & B  were  obtained
(even if  it can be seen from  checking the given program).

All the best,
Zak



----- Original Message ----
From: N. J. A. Sloane <njas at research.att.com>
To: seqfan at seqfan.eu
Cc: heinz at hs-heilbronn.de; njas at research.att.com; rkg at cpsc.ucalgary.ca; wouter.meeussen at pandora.be; wouter.meeussen at vandemoortele.com; zakseidov at yahoo.com
Sent: Sun, April 11, 2010 9:22:13 PM
Subject: Re 2 seqs with diffs distinct


Dear Seq Fans

On March 27 I posed a question to the list, and several
people responded.  The two sequences will be visible - in a few minutes -
as A169677 and A169678.
Thanks to everone who replied.

Now that the sequences exist in the OEIS, we can ask: what
are their properties?  (Rate of growth, relationship to
other sequences, e.g. Ulam-type sequences, see Index to OEIS, 
etc.) The graphs are surprisingly irregular.

Zak,  I believe you did a version using only primes?
Will you please submit it now?

Neil