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.
%I A188544 #13 Sep 09 2021 20:02:46
%S A188544 3,6,8,9,3,1,2,7,4,9,4,7,8,0,5,8,4,2,6,5,1,9,1,1,2,7,2,6,8,8,6,4,0,8,
%T A188544 5,7,1,8,6,8,3,4,4,2,8,8,3,5,2,6,1,9,0,6,5,9,8,5,4,6,2,1,2,1,1,1,1,7,
%U A188544 6,5,9,8,7,5,6,8,4,9,0,6,0,6,7,0,1,2,1,0,6,0,4,8,5,9,8,4,2,8,4,2,8,0,9,9,1,1,8,2,1,8,8,5,9,6,9,8,4,4,2,2,9,4,8,7,3,4,6,8
%N A188544 Decimal expansion of the angle B in the doubly e-ratio triangle ABC.
%C A188544 There is a unique (shape of) triangle ABC that is both side-e-ratio and angle-e-ratio. Its angles are B, t*B and pi-B-t*B, where t=e. "Side-e-ratio" and "angle-e-ratio" refer to partitionings of ABC, each in a manner that matches the continued fraction [2,1,2,1,1,4,1,1,6,...] of t. For doubly golden and doubly silver triangles, see A152149 and A188543. For the side partitioning and angle partitioning (i,e, constructions) which match arbitrary continued fractions (of sidelength ratios and angle ratios), see the 2007 reference.
%H A188544 Clark Kimberling, <a href="http://www.heldermann.de/JGG/JGG11/JGG112/jgg11014.htm">Two kinds of golden triangles, generalized to match continued fractions</a>, Journal for Geometry and Graphics, 11 (2007) 165-171.
%F A188544 B is the number in [0,Pi] such that sin(B*e^2)=e*sin(B).
%e A188544 B=0.36893127494780584265191127268864 approximately.
%e A188544 B=21.1382 degrees approximately.
%t A188544 r = E; Clear[t]; RealDigits[FindRoot[Sin[r*t + t] == r*Sin[t], {t, 1}, WorkingPrecision -> 120][[1, 2]]][[1]]
%Y A188544 Cf. A152149, A188543.
%K A188544 nonn,cons
%O A188544 0,1
%A A188544 _Clark Kimberling_, Apr 03 2011
%E A188544 a(127) corrected by _Sean A. Irvine_, Sep 08 2021