A198937 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=-2.

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

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=0.6367141741042367138642090717584528797324883...

Mathematica

a = 3; b = -4; c = -2;
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, .63, .64}, WorkingPrecision -> 110]
RealDigits[r] (* A198937 *)

Crossrefs

Cf. A198755.

Sequence in context: A181171 A193025 A021615 * A198867 A078888 A293560

Adjacent sequences: A198934 A198935 A198936 * A198938 A198939 A198940

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved