A198986 Decimal expansion of x>0 satisfying 4*x^2+3*cos(x)=4.

6, 2, 6, 4, 1, 9, 2, 4, 4, 3, 8, 2, 3, 3, 8, 2, 3, 8, 2, 8, 4, 6, 0, 4, 5, 1, 5, 4, 3, 9, 7, 2, 5, 1, 1, 8, 6, 0, 0, 3, 3, 3, 2, 8, 8, 8, 3, 2, 6, 8, 4, 1, 3, 0, 5, 5, 6, 8, 1, 9, 0, 2, 6, 2, 2, 5, 1, 8, 5, 6, 9, 6, 6, 0, 6, 7, 4, 4, 0, 1, 2, 8, 9, 1, 8, 1, 0, 1, 0, 8, 0, 7, 3, 1, 7, 9, 4, 4, 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=0.626419244382338238284604515439725118600333...

Mathematica

a = 4; b = 3; c = 4;
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, .62, .63}, WorkingPrecision -> 110]
RealDigits[r] (* A198986 *)

Crossrefs

Cf. A198755.

Sequence in context: A319262 A126664 A266389 * A236190 A198227 A199505

Adjacent sequences: A198983 A198984 A198985 * A198987 A198988 A198989

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved