A201405 Decimal expansion of x satisfying x^2 + 10 = sec(x) and 0 < x < Pi.

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.48884928916422210633099615894133...

Mathematica

a = 1; c = 10;
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]    (* A201405 *)

Crossrefs

Cf. A201397.

Sequence in context: A032566 A330555 A200357 * A331067 A040012 A054006

Adjacent sequences: A201402 A201403 A201404 * A201406 A201407 A201408

Keyword

nonn,cons

Author

Clark Kimberling, Dec 01 2011

Status

approved