A198987 Decimal expansion of x>0 satisfying 4*x^2-cos(x)=1.

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

Offset

0,1

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.668027847453054074502220056373986851215790...

Mathematica

a = 4; b = -1; c = 1;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .66, .67}, WorkingPrecision -> 110]
RealDigits[r] (* A198987 *)

Crossrefs

Cf. A198755.

Sequence in context: A256684 A049005 A279005 * A198751 A093728 A324001

Adjacent sequences: A198984 A198985 A198986 * A198988 A198989 A198990

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved