A198983 Decimal expansion of x>0 satisfying 4*x^2+cos(x)=3.

7, 5, 3, 4, 3, 4, 9, 3, 9, 2, 5, 8, 6, 6, 6, 2, 5, 2, 6, 7, 6, 9, 5, 1, 9, 9, 5, 8, 3, 1, 5, 6, 3, 3, 0, 0, 4, 9, 9, 5, 8, 8, 7, 4, 9, 7, 1, 2, 5, 9, 0, 8, 3, 5, 1, 2, 8, 2, 4, 8, 1, 9, 9, 0, 3, 5, 7, 3, 3, 5, 3, 5, 3, 3, 9, 7, 4, 7, 2, 4, 9, 5, 5, 8, 0, 7, 3, 5, 8, 2, 5, 3, 2, 1, 5, 9, 3, 5, 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=0.753434939258666252676951995831563300...

Mathematica

a = 4; b = 1; c = 3;
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, .75, .76}, WorkingPrecision -> 110]
RealDigits[r] (* A198983 *)

Crossrefs

Cf. A198755.

Sequence in context: A093824 A203142 A176974 * A019935 A255646 A255196

Adjacent sequences: A198980 A198981 A198982 * A198984 A198985 A198986

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved