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%I #8 Apr 09 2021 22:51:22
%S 1,5,0,3,2,6,2,1,5,2,1,3,1,4,9,3,0,9,9,9,1,9,0,7,9,9,0,7,5,2,0,0,8,3,
%T 0,8,2,9,0,8,3,4,3,1,7,1,5,6,2,7,8,2,9,3,8,3,2,1,0,3,3,2,1,4,8,8,7,2,
%U 7,4,9,7,2,3,3,7,5,1,4,2,4,9,8,0,0,9,9,4,8,7,2,9,9,6,6,2,0,5,6
%N Decimal expansion of greatest x satisfying 7*x^2 - 1 = sec(x) and 0 < x < Pi.
%C See A201397 for a guide to related sequences. The Mathematica program includes a graph.
%e least: 0.557895175779035299832869736313873...
%e greatest: 1.5032621521314930999190799075200...
%t a = 7; c = -1;
%t f[x_] := a*x^2 + c; g[x_] := Sec[x]
%t Plot[{f[x], g[x]}, {x, 0, Pi/2}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, .5, .6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201523 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]
%t RealDigits[r] (* A201524 *)
%Y Cf. A201397.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Dec 02 2011
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