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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