Sequence in context

[franktaw at netscape.net]

The "context" in "sequences in context" refers only to the 
lexicographical ordering
of the sequence.  Sequences are ordered (based on the absolute values) 
from the
first value greater than 1 (so 1,2,4,... comes after 2,3,5,...).  
Sequences with only
zeros and ones are ordered simply from the first value in the sequence 
-- which
means that all of them sort before any sequence containing a value 
greater than
one.

------
For anyone who is interested, the first sequence by this order is the 
zeros
sequence, A000004, followed by A112316, for which the first non-zero 
term is
a(64).  The last sequence of zeros and ones is a tie between the ones
sequence, A000012, and a considerable number of signed sequences with 
all
absolute values equal to 1.  (I'm not sure how sequences differing only 
in the
sign are sorted.)

Currently, the first sequence not consisting only of zeros and ones is 
A064287,
"Number of cyclotomic cosets C of 2 mod 2n+1 such that -C is not equal 
to C,
divided by 2." which has several zeros and ones, and a final two (so 
far).  This
sequence has the unusual combination of the keywords "easy" and "more",
while only having a few terms.  Perhaps someone can extend it.

The last sequence is A095646, 128 written in base n.  The last sequence 
not
of the form "x written in base n" is A033290, "Ten consecutive primes 
in
arithmetic progression".

Franklin T. Adams-Watters

-----Original Message-----
From: Rainer Rosenthal <r.rosenthal at web.de>

Richard Mathar wrote:

...

2. (This is really related to the OEIS):
   Having looked up "J. Fricke" in the OEIS I came across
   http://www.research.att.com/~njas/sequences/A119485  as well as
   http://www.research.att.com/~njas/sequences/A119486 and wondered
   about the "sequences in context" which seemed quite unrelated to
   me (kind of random, indeed). Am I mistaken?
    Example: what's got 
http://www.research.att.com/~njas/sequences/A002808
   to do with A119485?

Cheers,
Rainer Rosenthal
r.rosenthal at web.de