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A198985 Decimal expansion of x>0 satisfying 4*x^2+2*cos(x)=3. 2
5, 7, 4, 7, 4, 8, 0, 8, 5, 9, 3, 7, 2, 5, 4, 0, 8, 5, 7, 8, 8, 8, 3, 6, 9, 3, 6, 5, 0, 9, 0, 8, 0, 2, 4, 1, 0, 0, 1, 9, 1, 6, 9, 4, 9, 9, 3, 9, 2, 4, 4, 9, 2, 9, 6, 7, 4, 3, 8, 2, 6, 6, 3, 0, 7, 1, 7, 5, 4, 0, 3, 8, 3, 0, 9, 4, 3, 0, 5, 1, 2, 3, 4, 1, 0, 5, 4, 7, 6, 0, 9, 3, 3, 8, 0, 8, 9, 2, 8 (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=0.57474808593725408578883693650908024100...

MATHEMATICA

a = 4; b = 2; 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, .57, .58}, WorkingPrecision -> 110]

RealDigits[r] (* A198985 *)

CROSSREFS

Cf. A198755.

Sequence in context: A343039 A021178 A201506 * A021639 A232975 A198998

Adjacent sequences:  A198982 A198983 A198984 * A198986 A198987 A198988

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 01 2011

STATUS

approved

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Last modified August 2 15:26 EDT 2021. Contains 346428 sequences. (Running on oeis4.)