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A198994 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=-2. 2
4, 2, 7, 2, 8, 3, 4, 3, 8, 7, 6, 8, 8, 5, 5, 3, 6, 4, 0, 0, 5, 4, 4, 7, 7, 8, 3, 5, 6, 9, 8, 1, 1, 7, 2, 4, 9, 1, 4, 0, 6, 9, 6, 7, 9, 9, 8, 9, 0, 2, 5, 1, 1, 8, 8, 9, 1, 1, 1, 1, 7, 2, 4, 8, 9, 4, 0, 8, 5, 5, 1, 4, 4, 9, 9, 3, 8, 0, 4, 3, 7, 2, 2, 6, 2, 5, 2, 7, 8, 4, 8, 7, 7, 7, 2, 7, 1, 6, 3 (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=0.42728343876885536400544778356981172491406...

MATHEMATICA

a = 4; b = -3; c = -2;

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, .42, .43}, WorkingPrecision -> 110]

RealDigits[r]  (* A198994 *)

CROSSREFS

Cf. A198755.

Sequence in context: A260590 A010648 A272335 * A182364 A021238 A222622

Adjacent sequences:  A198991 A198992 A198993 * A198995 A198996 A198997

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 01 2011

STATUS

approved

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Last modified May 27 16:48 EDT 2022. Contains 354110 sequences. (Running on oeis4.)