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%I #11 Oct 01 2022 00:49:37
%S 4,3,9,9,0,0,8,4,6,4,8,8,4,4,2,6,2,4,0,8,9,5,2,1,3,7,4,5,1,3,7,1,3,3,
%T 8,3,7,9,9,1,8,7,4,4,3,2,3,7,6,8,9,2,4,1,2,6,5,9,4,9,8,6,8,1,2,5,8,4,
%U 0,2,1,3,0,8,3,9,0,3,0,9,7,6,8,6,8,5,0,4,5,7,9,3,6,9,2,6,3,3,5
%N Decimal expansion of Pi/(4 + Pi).
%C Least x > 0 such that sin(b*x) = cos(c*x) (and also sin(c*x) = cos(b*x)), where b=2 and c=Pi/2; 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 0.4399008464884426240895213745137133837991874432...
%t b = 2; c = Pi/2;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .4, .45}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197694 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, 1.1}]
%Y Cf. A197682.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 17 2011
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