Plotting et al

[David Wilson]

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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