[seqfan] What's special about this fraction?

[Alonso Del Arte]

Is there a page like Erich Friedman's about rational numbers in general? It
wouldn't need to have too many integers since Friedman already covered them
so well.

−1 is its own reciprocal
−1/2 is the real part of ω
0 has no reciprocal
137174210/1111111111 =
0.12345678901234567890123456789012345678901234567890... (A010879)
1/3 has the same representation in binary as in negabinary:
0.010101010101010101010101...
1/2 is the real part of all nontrivial zeroes of the zeta function
(assuming the Riemann hypothesis)
69854/70123 is the greatest fraction not greater than 1 such that in base 10
1 is its own reciprocal
22/7 approximates π

-- 
Alonso del Arte
Author at SmashWords.com
<https://www.smashwords.com/profile/view/AlonsoDelarte>
Musician at ReverbNation.com <http://www.reverbnation.com/alonsodelarte>