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%I #8 Apr 10 2021 16:57:35
%S 1,4,0,2,4,0,6,0,3,1,2,7,6,5,1,6,4,7,2,8,6,3,7,6,5,8,5,4,6,9,3,9,7,3,
%T 0,3,2,3,0,5,2,3,1,8,9,3,8,7,0,0,8,1,0,9,3,8,2,9,8,9,9,6,6,5,5,8,2,5,
%U 2,7,7,7,8,3,4,2,4,3,5,0,8,4,7,5,7,8,1,8,5,1,9,3,9,3,4,9,5,5,5
%N Decimal expansion of x satisfying x^2 + 4 = sec(x) and 0 < x < Pi.
%C See A201397 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.40240603127651647286376585469397303230523...
%t a = 1; c = 4;
%t f[x_] := a*x^2 + c; g[x_] := Sec[x]
%t Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201399 *)
%Y Cf. A201397.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Dec 01 2011
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