Riffs & Rotes

[Jon Awbrey]

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

R&R.  Note 11

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

Re: R&R 10.   http://stderr.org/pipermail/inquiry/2005-June/002763.html
In: R&R Jun.  http://stderr.org/pipermail/inquiry/2005-June/thread.html#2763
Cf: R&R May.  http://stderr.org/pipermail/inquiry/2005-May/thread.html#2714

Neil, SeqFans,

I have put my current worksheet for the primal code characteristic sequences
at the link above, to help with checking the arithmetic, or even better if
anybody wants to write the routines to calculate these values -- probably
the right sort of sparse matrix tool would do quite nicely.

I've been puzzling what parameter to use for the offsets.
If we treat the primal codes as associated with finite
partial functions on positive integers, and view the
finite partial functions as directed graphs (trees),
then we could use the number of nodes in the tree
as a parameter.

For example:  20 = (1:2 3:1) = 3->1->2 => 3 nodes.
So the offset for A108373 [pending] would be 3?

Jon Awbrey

o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
inquiry e-lab: http://stderr.org/pipermail/inquiry/
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o