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A199187 Decimal expansion of x>0 satisfying x^2+3*x*cos(x)=3. 4
3, 5, 6, 9, 6, 8, 6, 3, 3, 3, 9, 6, 2, 3, 0, 3, 9, 3, 0, 4, 9, 7, 9, 2, 8, 9, 6, 6, 8, 7, 8, 0, 0, 1, 4, 3, 3, 4, 3, 4, 9, 3, 8, 9, 9, 7, 2, 0, 6, 3, 2, 6, 5, 0, 2, 4, 3, 9, 7, 8, 8, 8, 1, 5, 6, 3, 8, 6, 8, 7, 2, 9, 5, 7, 1, 1, 8, 8, 7, 9, 7, 1, 7, 0, 4, 1, 6, 8, 2, 2, 9, 6, 8, 4, 3, 1, 2, 3, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

See A199170 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

negative: -1.6364435519550414220675930311871282455...

positive:  3.56968633396230393049792896687800143343...

MATHEMATICA

a = 1; b = 3; c = 3;

f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c

Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}]

Plot[{f[x], g[x]}, {x, 0, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110]

RealDigits[r]  (* A199186 *)

r = x /. FindRoot[f[x] == g[x], {x, 3.56, 3.57}, WorkingPrecision -> 110]

RealDigits[r]  (*  A199187 *)

CROSSREFS

Cf. A199170.

Sequence in context: A199730 A016612 A245739 * A098587 A321885 A161182

Adjacent sequences:  A199184 A199185 A199186 * A199188 A199189 A199190

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified February 17 18:14 EST 2020. Contains 332005 sequences. (Running on oeis4.)