files giving extended versions of sequences
franktaw at netscape.net
franktaw at netscape.net
Fri May 19 21:17:55 CEST 2006
One possible use for this would be cases where there is a hole in our knowledge of the sequence.
Would you want to leave a blank line for a missing value, or just skip past it?
Franklin T. Adams-Watters
-----Original Message-----
From: N. J. A. Sloane <njas at research.att.com>
To: dfs at research.att.com; seqfan at ext.jussieu.fr; se16 at btinternet.com; bowerc at usa.net; Ray.Chandler at comcast.net; pdg at worldofnumbers.com; deutsch at duke.poly.edu; seqfan at xyzzy.claranet.de; rkg at cpsc.ucalgary.ca; dean at math.ucdavis.edu; Antti.Karttunen at iki.fi; layman at calvin.math.vt.edu; mlb at well.com; j.mccranie at adelphia.net; simon.plouffe at sympatico.ca; sellersj at math.psu.edu; njas at research.att.com; smiley at math.uaa.alaska.edu; somos at grail.cba.csuohio.edu; ralf at ark.in-berlin.de; davidwwilson at comcast.net; rgwv at rgwv.com; david at research.att.com; djr at nk.ca; rsc at swtch.com; noe at sspectra.com
Cc: njas at research.att.com
Sent: Fri, 19 May 2006 14:01:44 -0400 (EDT)
Subject: files giving extended versions of sequences
Often one wants more terms than are shown in the OEIS.
The new plan is to have plain text files for this, with names like
b000108.txt
They are indicated by an initial "b".
The format is a list of pairs "n a(n)" with no commas, like this:
(This is b000045.txt, the Fibonacci numbers A000045)
0 0
1 1
2 1
3 2
4 3
5 5
6 8
7 13
8 21
9 34
...
499 86168291600238450732788312165664788095941068326060883324529903470149056115823592713458328176574447204501
500 139423224561697880139724382870407283950070256587697307264108962948325571622863290691557658876222521294125
No commas, no text, no line breaks, one line per entry.
Of course use the correct offset.
If it is a list, usually the offset is 1.
How many terms? It depends. I have been giving 10,000 terms
for some of the basic sequences like A000005.
For sequences which grow rapidly, like the Fibonacci numbers
shown above, 500 terms may be enough.
For a finite sequence (which is not too long), give them all.
So far I have these files:
-rw-r--r-- 3 njas njas 72115 May 19 12:56 b000005.txt
-rw-r--r-- 3 njas njas 96752 May 19 07:37 b000010.txt
-rw-r--r-- 2 njas njas 107876 May 19 07:37 b000040.txt
-rw-r--r-- 2 njas njas 28899 May 19 07:38 b000045.txt
-rw-r--r-- 3 njas njas 12483 May 19 07:40 b000108.txt
-rw-r--r-- 2 njas njas 112102 May 19 13:33 b000201.txt
-rw-r--r-- 2 njas njas 83635 May 19 12:58 b001223.txt
-rw-r--r-- 2 njas njas 72815 May 19 07:40 b004718.txt
-rw-r--r-- 2 njas njas 260773 May 19 07:41 b007318.txt
-rw-r--r-- 2 njas njas 119962 May 19 13:38 b010060.txt
-rw-r--r-- 2 njas njas 98458 May 19 13:10 b046901.txt
-rw-r--r-- 2 njas njas 2892 May 19 13:24 b049076.txt
-rw-r--r-- 3 njas njas 1972 Mar 29 15:36 b051169.txt
-rw-r--r-- 2 njas njas 82409 May 19 07:39 b056239.txt
-rw-r--r-- 2 njas njas 1524 May 19 13:16 b114835.txt
-rw-r--r-- 2 njas njas 5652 May 19 13:13 b115569.txt
-rw-r--r-- 2 njas njas 8394 May 19 13:07 b117153.txt
-rw-r--r-- 2 njas njas 6945 May 19 13:08 b117154.txt
-rw-r--r-- 3 njas njas 4136 May 19 07:39 b117825.txt
They will be indicated in the OEIS by lines like this:
%H A010060 Author's name, <a href="http://www.research.att.com/~njas/sequences/b010060.txt">Table
of n, a(n) for n = 0..16383</a>
and this will usually be the first %H line.
This is an experiment. Comments welcomed.
One application for this is so that one can listen to a good chunk
of the sequence using the new "listen" button.
Contributions also welcomed, but use restraint. There are a lot of sequences
in the OEIS where we need fewer terms, not more!
Neil Sloane
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