A198111 Decimal expansion of x>0 having 2*x^2=3*cos(x).

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

Offset

0,1

Comments

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

Links

Table of n, a(n) for n=0..98.

Example

x=0.940349965355053888229393687614968909...

Mathematica

a = 2; b = 0; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, 0.94, 0.95}, WorkingPrecision -> 110]
RealDigits[r] (* A198111 *)

Crossrefs

Cf. A197737.

Sequence in context: A116393 A359285 A355283 * A194562 A239349 A198675

Adjacent sequences: A198108 A198109 A198110 * A198112 A198113 A198114

Keyword

nonn,cons

Author

Clark Kimberling, Oct 21 2011

Status

approved