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A198919 Decimal expansion of x>0 satisfying 3*x^2+2*cos(x)=3. 2
7, 0, 0, 1, 0, 8, 3, 9, 5, 0, 4, 1, 6, 3, 1, 4, 3, 1, 5, 3, 1, 5, 6, 1, 9, 4, 0, 3, 6, 5, 4, 1, 4, 6, 1, 3, 5, 5, 7, 2, 0, 0, 9, 9, 9, 6, 3, 3, 2, 6, 5, 3, 0, 6, 7, 0, 4, 0, 9, 6, 6, 2, 6, 2, 8, 7, 9, 6, 8, 2, 3, 8, 9, 8, 0, 7, 4, 1, 3, 5, 2, 0, 6, 5, 0, 8, 2, 9, 2, 6, 3, 6, 0, 2, 0, 1, 0, 0, 6 (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=0.700108395041631431531561940365414613557200999...

MATHEMATICA

a = 3; 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, .7, 7.1}, WorkingPrecision -> 110]

RealDigits[r] (* A198919 *)

CROSSREFS

Cf. A198755.

Sequence in context: A339442 A331748 A171917 * A019933 A132712 A021592

Adjacent sequences:  A198916 A198917 A198918 * A198920 A198921 A198922

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 31 2011

STATUS

approved

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Last modified May 27 15:17 EDT 2022. Contains 354105 sequences. (Running on oeis4.)