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Decimal expansion of x satisfying x^2 + 9 = sec(x) and 0 < x < Pi.
2

%I #8 Apr 10 2021 15:15:23

%S 1,4,8,1,3,4,6,6,1,2,6,2,9,7,1,7,6,7,5,9,7,6,5,3,6,8,4,1,5,7,9,5,6,5,

%T 2,3,0,3,0,3,3,0,0,0,1,8,1,5,5,5,1,0,5,2,7,4,8,9,3,4,5,5,0,6,7,0,9,9,

%U 9,5,7,6,2,4,3,8,4,1,7,7,8,3,8,9,3,0,4,3,4,0,3,1,7,3,3,2,6,7,2

%N Decimal expansion of x satisfying x^2 + 9 = sec(x) and 0 < x < Pi.

%C See A201397 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.4813466126297176759765368415795652303033000...

%t a = 1; c = 9;

%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] (* A201404 *)

%Y Cf. A201397.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Dec 01 2011