A198938 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=-1.

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

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=0.782459245550879268109771951853535502612037...

Mathematica

a = 3; b = -4; c = -1;
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, .78, .79}, WorkingPrecision -> 110]
RealDigits[r] (* A198938 *)

Crossrefs

Cf. A198755.

Sequence in context: A128755 A088367 A196610 * A244067 A225449 A345412

Adjacent sequences: A198935 A198936 A198937 * A198939 A198940 A198941

Keyword

nonn,cons

Author

Clark Kimberling, Nov 01 2011

Status

approved