%I #12 Oct 01 2022 00:54:28
%S 1,8,3,3,0,4,6,4,1,1,0,5,4,9,7,1,8,6,8,1,4,1,7,8,6,1,6,3,8,6,1,9,0,6,
%T 5,8,5,2,1,2,2,6,7,8,9,8,8,6,8,2,7,8,3,8,5,6,2,6,7,5,0,3,2,5,1,2,7,3,
%U 9,4,5,0,1,8,0,8,9,4,7,5,1,5,9,7,2,1,1,4,1,5,0,3,7,0,0,2,2,9,1
%N Decimal expansion of 3*Pi/(2 + Pi).
%C Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/3 and c=Pi/6; see the Mathematica program for a graph and A197682 for a discussion and guide to related sequences.
%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>
%e 1.8330464110549718681417861638619065852122678...
%t b = 1/3; c = Pi/6;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.83, 1.84}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197729 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi}]
%t RealDigits[3*Pi/(2+Pi),10,120][[1]] (* _Harvey P. Dale_, Jun 27 2015 *)
%Y Cf. A197682.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 17 2011