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%I #10 Oct 01 2022 00:56:24
%S 2,2,7,5,6,4,0,9,7,8,9,8,4,3,2,8,4,3,6,0,3,3,2,9,2,0,6,7,1,3,4,6,7,8,
%T 5,9,2,4,1,5,2,7,9,0,9,6,9,2,1,5,9,2,9,9,0,0,0,6,9,6,4,6,4,1,3,4,7,6,
%U 4,4,4,1,1,3,0,2,8,7,2,1,2,8,9,6,1,8,9,9,5,2,2,0,4,6,0,6,7,3,1
%N Decimal expansion of 3*Pi/(1 + Pi).
%C Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/6 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 2.27564097898432843603329206713467859241...
%t b = 1/6; c = Pi/6;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 2.27, 2.28}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197735 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi}]
%Y Cf. A197682.
%K nonn,cons
%O 1,1
%A _Clark Kimberling_, Oct 17 2011
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