A201400 - OEIS

%I #8 Apr 10 2021 15:25:11

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

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

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

%N Decimal expansion of x satisfying x^2 + 5 = sec(x) and 0 < x < Pi.

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

%e x=1.42826776583822264033976630132527760662...

%t a = 1; c = 5;

%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]    (* A201400 *)

%Y Cf. A201397.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Dec 01 2011