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>
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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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