Question on offsets (tetrahedral numbers)
franktaw at netscape.net
franktaw at netscape.net
Tue May 16 22:42:35 CEST 2006
I remember looking at some of those, and thinking that what was there was kind of ugly, but I couldn't come up with anything better.
I don't see any problem with zeros in the denominator of fraction sequences in cases like these.
Franklin T. Adams-Watters
-----Original Message-----
From: Joshua Zucker joshua.zucker at gmail.com
Speaking of offsets and such:
I agree that there are a lot that ought to be corrected, and some that
are used inconsistently within the comments/formulas for the seq. So
a lot of other cleaning up (of those formulas/comments) might be
necessary when we start being more careful about offsets.
I had a very tough time deciding what to do with some "farey fraction"
sequences:
They start 0/1, 1/0, ...
And sometimes the ... part was already in the OEIS as numerators or
denominators or both.
I had to decide whether to stick the 0,1 or 1,0 in front and make a
new seq cross-ref to the existing one, or just to comment on the
existing seq about the Farey fraction connection.
There's also the issue about whether it's OK to have a "frac" sequence
of denominators that includes zero!
Any opinions on this one? (For the record, in a couple of the "most
important" cases, relating to e and pi and the golden ratio and maybe
sqrt(2), I made new seq with the 0 and 1 in front, but for any others
I come across I will just stick in a comment about the Farey
connection.)
--Joshua Zucker
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