A198923 Decimal expansion of x>0 satisfying 4*x^2+cos(x)=2.

5, 3, 3, 6, 2, 7, 2, 8, 4, 4, 2, 5, 2, 3, 2, 7, 8, 7, 5, 6, 0, 5, 6, 7, 8, 6, 5, 9, 9, 4, 0, 3, 5, 8, 8, 3, 9, 2, 4, 2, 9, 7, 4, 2, 6, 9, 6, 0, 6, 6, 7, 0, 8, 2, 5, 0, 7, 3, 1, 4, 5, 3, 3, 5, 0, 5, 3, 8, 6, 0, 3, 6, 5, 0, 7, 0, 6, 9, 5, 1, 3, 9, 4, 0, 2, 1, 9, 3, 8, 4, 8, 1, 7, 0, 0, 6, 6, 8, 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=0.53362728442523278756056786599403588392429742...

Mathematica

a = 4; b = 1; 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, .53, .54}, WorkingPrecision -> 110]
RealDigits[r] (* A198923 *)

Crossrefs

Cf. A198755.

Sequence in context: A010038 A232109 A270753 * A056597 A329973 A019624

Adjacent sequences: A198920 A198921 A198922 * A198924 A198925 A198926

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved