querying multidimensional sequences in OEIS

Jon Awbrey jawbrey at att.net
Fri Nov 3 22:51:00 CET 2006


o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o

you might get some ideas from looking at the
tables of "primal codes" or "primal functions"
that I compiled, for instance, here:

http://stderr.org/pipermail/inquiry/2005-July/002846.html

ja

Marc LeBrun wrote:
> 
>  > I have a number of multidimensional sequences in mind that I'd like to
>  > see in OEIS.  E.g.: the coefficients of incomplete Bell polynomials:
> 
> Two possible ways to submit sequences of tuples T(1),T(2),...
> where T(i)=[T(i,1),T(i,2),...] are:
> 
> A. Define a traversal order by a map (i,j) <--> n and set a(n) = T(i,j).
> This gives the tabl/tabf style of entry.
> 
> B. Encode each tuple as a single number, say by using it as factor
> exponents:  T(i) --> 2^T(i,1) * 3^T(i,2) * 5^T(i,3) *...
> 
> For example, for Pascal's triangle
> 
> A: 1; 1, 1; 1, 2, 1; 1, 3, 3, 1;...
> 
> B: 2, 6,    90,      47250,...
> 
> However there are a variety of possible ways to do these things--for example
> you might subtract 1 from all the Pascal exponents, B': 1, 1, 3, 225,...
> 
> Or traverse in the order (1,1), (2,1), (1,2), (3,1), (1,3), (2,2), (1,4),...
> which recursively interleaves sequences instead of the usual diagonalizing.
> 
> But this sort of thing can also be abused to breed swarms of silly sequences,
> so it should be well-motivated.
> 
> It's nicest to use familiar schemes (eg as Frank noted for partitions).

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
inquiry e-lab: http://stderr.org/pipermail/inquiry/
citizendium development forums: http://smf.citizendium.org
http://www.textop.org/wiki/index.php?title=User:Jon_Awbrey
wikinfo: http://wikinfo.org/wiki.php?title=User:Jon_Awbrey
wp review: http://wikipediareview.com/index.php?showuser=398
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o







More information about the SeqFan mailing list