17 Jul
2015
17 Jul
'15
1:13 a.m.
* Warren D Smith <warren.wds@gmail.com> [Jul 17. 2015 08:39]:
It is interesting that some of the most-amazing among the listed miracles involve only powers of 2 in denominators:
5*acos(-7/8)+2*acos(-61/64) =1080.0 4*acos(-57/64)+5*acos(-31/32) =1440.0 1*acos(57/64)+5*acos(-3/4) = 720.0 1*acos(61/64)+5*acos(-1/4) = 540.0 [...]
My comments in the following sequences may be pertinent: https://oeis.org/A038198 https://oeis.org/A168229 I'd hope one could map these relations to arctan relations as given in http://jjj.de/arctan/arctanpage.html Best regards, jj