Plotting et al

[franktaw at netscape.net]

Something like that would be nice, but ...

For me, a much higher priority would be to specify the shape for table 
sequences, particularly those that aren't triangular or square.  The 
simplest would be shape line (maybe %s, if that isn't in use), which 
would have a sequence number containing the line lengths (perhaps with 
an optional start index).  A000027 can be used for triangular tables, 
and perhaps a keyword "square" for square tables by anti-diagonals.

Incidently, there is a lack of consistency in anti-diagonals.  Based on 
the descriptions, some sequences consider the antidiagonals to run down 
and to the left (like the table display does), and some consider them 
to run to the right and up.  At a minimum, the description for the 
"tabl' keyword should specify which is the standard.

Franklin T. Adams-Watters


-----Original Message-----
From: David Wilson <davidwwilson at comcast.net>

It would be nice to be able to say something like
 
%J A04055 A000040,2 A004055,1
 
This line specifies that A004055 can be viewed alternately as two 
columns, the first (A000040,2) consisting of A000040 starting at the 
second element (the odd primes), and the second consisting of A004055 
starting the first element.  This would allow us to list (or possibly 
plot) A004055 as a function of the odd primes, which it is.  The 
listing would look something like
 
A000040(n) A004055(n)
3 1
5 2
7 6
11 10
13 5
etc.
 
which seems more explanatory than the present index sequence 3,4,5,...
 
More than two columns could be shown.  For example
 
%J A007305 0 A007305,1 A007306,1
%J A007306 0 A007305,1 A007306,1
 
specifies that either A007305 or A007306 can be viewed as three colums, 
the first "0", being a column of integers starting at 0, the second 
"A007305,1" being A007305 starting at its first element, and the third 
"A007306,1" being A007306 starting at its first element.  This would 
produce the listing
 
n A007305(n) A007306(n)
0 0 1
1 1 1
2 1 2
3 1 3
4 2 3
etc
 
which to me seems more enlightening than the present listing of either 
A007305 or A007306.  The same multicolumn technique could be used to 
co-list numerators and denominators or fraction-type sequence pairs, or 
indeed any two or more sequences with corresponding elements.
 
 
 
 


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