A201402 Decimal expansion of x satisfying x^2 + 7 = sec(x) and 0 < x < Pi.

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

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=1.461105364630167782277780702737622072652...

Mathematica

a = 1; c = 7;
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]    (* A201402 *)

Crossrefs

Cf. A201397.

Sequence in context: A010668 A200601 A277755 * A262562 A107951 A019646

Adjacent sequences: A201399 A201400 A201401 * A201403 A201404 A201405

Keyword

nonn,cons

Author

Clark Kimberling, Dec 01 2011

Status

approved