%I #8 Apr 10 2021 16:58:00
%S 1,4,8,8,8,4,9,2,8,9,1,6,4,2,2,2,1,0,6,3,3,0,9,9,6,1,5,8,9,4,1,3,3,4,
%T 3,7,5,5,3,8,1,3,6,3,6,5,0,9,7,0,2,0,5,2,1,5,5,2,9,0,4,1,0,4,8,6,7,8,
%U 8,3,4,7,3,1,4,6,5,2,1,6,9,2,1,8,2,4,4,3,0,4,5,1,4,2,8,1,5,3,1
%N Decimal expansion of x satisfying x^2 + 10 = sec(x) and 0 < x < Pi.
%C See A201397 for a guide to related sequences. The Mathematica program includes a graph.
%e x=1.48884928916422210633099615894133...
%t a = 1; c = 10;
%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] (* A201405 *)
%Y Cf. A201397.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Dec 01 2011
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