A198932 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=-1.

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

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=0.670809501192074397261156378392474226015...

Mathematica

a = 3; b = -3; 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, .6, .7}, WorkingPrecision -> 110]
RealDigits[r] (* A198932 *)

Crossrefs

Cf. A198755.

Sequence in context: A344428 A224238 A227718 * A010499 A218012 A195714

Adjacent sequences: A198929 A198930 A198931 * A198933 A198934 A198935

Keyword

nonn,cons

Author

Clark Kimberling, Oct 31 2011

Status

approved