A198935 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=4.

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

Offset

1,2

Comments

See A198755 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=1..99.

Example

x=1.27477469729244956060192606401063809708471...

Mathematica

a = 3; 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, 1.2, 1.3}, WorkingPrecision -> 110]
RealDigits[r] (* A198935 *)

Crossrefs

Cf. A198755.

Sequence in context: A019968 A257434 A011050 * A019779 A222056 A247448

Adjacent sequences: A198932 A198933 A198934 * A198936 A198937 A198938

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved