A198936 Decimal expansion of x>0 satisfying 3*x^2-4*cos(x)=-3.

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

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.

Index entries for transcendental numbers.

Example

0.4487117711590984809439407637197106050174500...

Mathematica

a = 3; b = -4; 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, .44, .45}, WorkingPrecision -> 110]
RealDigits[r] (* A198936 *)

Crossrefs

Cf. A198755.

Sequence in context: A275982 A165662 A110648 * A289091 A019674 A264606

Adjacent sequences: A198933 A198934 A198935 * A198937 A198938 A198939

Keyword

nonn,cons,changed

Author

Clark Kimberling, Nov 01 2011

Status

approved