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A198922 Decimal expansion of x>0 satisfying 3*x^2-cos(x)=1. 2
7, 5, 8, 4, 8, 1, 2, 6, 0, 3, 1, 2, 6, 5, 2, 8, 0, 0, 6, 1, 1, 7, 4, 7, 6, 5, 6, 4, 9, 3, 5, 6, 8, 6, 3, 6, 5, 8, 2, 3, 7, 2, 7, 5, 7, 7, 0, 9, 7, 3, 2, 9, 7, 9, 6, 6, 8, 5, 5, 9, 4, 5, 1, 9, 3, 8, 1, 2, 9, 9, 4, 6, 4, 0, 8, 5, 4, 7, 4, 0, 9, 3, 4, 6, 7, 0, 0, 5, 9, 4, 5, 4, 9, 1, 1, 4, 5, 1, 2 (list; constant; graph; refs; listen; history; text; internal format)
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=0.758481260312652800611747656493568636582...

MATHEMATICA

a = 3; b = -1; 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, .75, .76}, WorkingPrecision -> 110]

RealDigits[r]  (* A198922 *)

CROSSREFS

Cf. A198755.

Sequence in context: A111513 A280722 A262899 * A197726 A153623 A242623

Adjacent sequences:  A198919 A198920 A198921 * A198923 A198924 A198925

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 31 2011

STATUS

approved

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Last modified August 26 03:17 EDT 2019. Contains 326324 sequences. (Running on oeis4.)