cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A210974 Decimal expansion of the angle (in degrees) between an edge and (the normal of) a face of the regular tetrahedron.

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%I A210974 #25 Sep 12 2022 03:59:40
%S A210974 5,4,7,3,5,6,1,0,3,1,7,2,4,5,3,4,5,6,8,4,6,2,2,9,9,9,6,6,9,9,8,1,2,1,
%T A210974 7,9,8,1,5,0,3,4,2,1,5,5,0,4,5,3,9,7,4,1,4,4,0,8,5,5,5,3,1,7,8,0,1,9,
%U A210974 8,7,3,2,1,9,0
%N A210974 Decimal expansion of the angle (in degrees) between an edge and (the normal of) a face of the regular tetrahedron.
%C A210974 Also known as "magic angle", the angle t such that 3*(cos t)^2 - 1 = 0.
%C A210974 See more comments in A195696. - _Stanislav Sykora_, Nov 14 2013
%H A210974 C. O. Horgan and J. G. Murphy, <a href="https://www.ams.org/journals/notices/202201/rnoti-p22.pdf">On an angle with magical properties</a>, Notices Amer. Math. Soc., 69:1 (2022), 22-25.
%H A210974 Wikipedia, <a href="http://en.wikipedia.org/wiki/Tetrahedron">Tetrahedron</a>
%H A210974 Wikipedia, <a href="http://en.wikipedia.org/wiki/Magic_angle">Magic angle</a>
%F A210974 A195696 times 180 divided by Pi, see A072097.
%e A210974 54.7356103172453... degrees.
%t A210974 RealDigits[t/.FindRoot[3Cos[t Degree]^2-1==0,{t,54},WorkingPrecision-> 120]][[1]] (* _Harvey P. Dale_, May 02 2014 *)
%o A210974 (PARI) acos(sqrt(1/3))*180/Pi \\ _Charles R Greathouse IV_, Nov 05 2017
%Y A210974 Cf. A195696 (in radians).
%K A210974 nonn,cons
%O A210974 2,1
%A A210974 _Omar E. Pol_, Jul 17 2012