A201403 - OEIS

%I #12 Jan 30 2025 15:34:41

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

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

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

%N Decimal expansion of x satisfying x^2 + 8 = sec(x) and 0 < x < Pi.

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

%H <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.

%e 1.472285690461347662371464547824040195...

%t a = 1; c = 8;

%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]     (* A201403 *)

%Y Cf. A201397.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Dec 01 2011