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%I #11 Oct 01 2022 00:52:42
%S 2,3,1,5,7,2,0,7,9,4,3,7,7,0,9,7,2,1,6,0,6,2,8,9,1,1,4,5,5,1,1,3,1,2,
%T 3,0,8,9,3,0,5,4,4,3,8,1,6,8,6,5,5,2,5,2,2,8,3,8,8,4,2,4,7,9,9,2,4,0,
%U 9,7,2,9,9,7,4,0,5,9,2,3,2,7,5,6,6,1,8,4,5,6,7,2,9,1,6,5,7,3,8
%N Decimal expansion of Pi/(1 + 4*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=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 0.2315720794377097216062891145511312308...
%t b = 1/2; c = 2*Pi;
%t t = x /. FindRoot[Sin[b*x] == Cos[c*x], {x, .23, .24}]
%t N[Pi/(2*b + 2*c), 110]
%t RealDigits[%] (* A197701 *)
%t Simplify[Pi/(2*b + 2*c)]
%t Plot[{Sin[b*x], Cos[c*x]}, {x, 0, .8}]
%Y Cf. A197682.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 17 2011
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