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%I #11 Oct 01 2022 00:46:56
%S 9,5,9,7,8,0,8,5,6,4,4,3,2,3,9,3,2,9,8,5,0,7,2,6,3,0,3,6,8,5,7,8,2,5,
%T 8,0,3,6,1,1,6,2,0,6,6,7,3,1,4,6,0,1,1,5,2,7,8,5,5,5,5,2,1,1,1,1,4,4,
%U 3,3,6,9,2,0,6,7,8,8,6,6,0,6,5,6,6,4,6,0,2,9,2,1,4,3,8,4,2,2,8
%N Decimal expansion of Pi^2/(4 + 2*Pi).
%C Least x > 0 such that sin(bx) = cos(cx) (and also sin(cx) = cos(bx)), where b=1 and c=2/Pi; 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 x=0.9597808564432393298507263036857825803611620667...
%t b = 1; c = 2/Pi;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .9, 1}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197685 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi/2}]
%Y Cf. A197682.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 17 2011