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%I #11 Nov 27 2022 19:02:17
%S 5,9,5,7,6,1,4,1,5,1,4,8,7,5,4,2,7,3,2,7,9,5,5,3,1,7,3,5,5,8,6,5,2,5,
%T 0,5,0,1,4,6,8,5,7,5,8,4,3,3,6,4,3,7,0,6,0,7,6,4,8,9,0,9,4,6,3,1,3,1,
%U 7,0,6,7,2,9,6,3,1,2,9,0,5,5,7,6,8,5,0,4,1,2,8,3,1,6,9,0,3,2,3
%N Decimal expansion of (Pi^2)/(4+4*Pi).
%C Least x>0 such that sin(bx)=cos(cx) (and also sin(cx)=cos(bx)), where b=2 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=0.59576141514875427327955317355865250501468575843...
%t b = 2; c = 2/Pi;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .5, .6}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197693 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, Pi/2}]
%t RealDigits[Pi^2/(4+4*Pi),10,120][[1]] (* _Harvey P. Dale_, Nov 27 2022 *)
%Y Cf. A197682.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 17 2011
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