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%I #13 Mar 19 2023 09:35:39
%S 1,9,1,9,5,6,1,7,1,2,8,8,6,4,7,8,6,5,9,7,0,1,4,5,2,6,0,7,3,7,1,5,6,5,
%T 1,6,0,7,2,2,3,2,4,1,3,3,4,6,2,9,2,0,2,3,0,5,5,7,1,1,1,0,4,2,2,2,2,8,
%U 8,6,7,3,8,4,1,3,5,7,7,3,2,1,3,1,3,2,9,2,0,5,8,4,2,8,7,6,8,4,5
%N Decimal expansion of Pi^2/(2 + Pi).
%C Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=1/2 and c=1/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 1.91956171288647865970145260737156516072232...
%t b = 1/2; c = 1/Pi;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, 1.9, 1.92}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197724 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 2.8}]
%t RealDigits[Pi^2/(2+Pi),10,120][[1]] (* _Harvey P. Dale_, Mar 19 2023 *)
%Y Cf. A197682.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 17 2011
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