A201403 Decimal expansion of x satisfying x^2 + 8 = sec(x) and 0 < x < Pi.

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, 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, 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

Offset: 1

Author

Clark Kimberling, Dec 01 2011

Keywords

• nonn
• cons

Comments

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

Examples

			1.472285690461347662371464547824040195...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A201397.

Programs

Mathematica

a = 1; c = 8;
f[x_] := a*x^2 + c; g[x_] := Sec[x]
Plot[{f[x], g[x]}, {x, 0, Pi}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
RealDigits[r]     (* A201403 *)