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A199181 Decimal expansion of x>0 satisfying x^2+2*x*cos(x)=3. 4
2, 9, 8, 0, 6, 4, 5, 2, 7, 9, 4, 3, 8, 5, 3, 6, 8, 3, 4, 5, 9, 4, 9, 0, 8, 9, 0, 5, 5, 7, 9, 0, 3, 2, 1, 7, 5, 7, 0, 7, 3, 8, 5, 6, 3, 2, 0, 5, 6, 7, 4, 0, 2, 2, 7, 7, 6, 0, 0, 5, 6, 0, 8, 5, 2, 5, 1, 9, 6, 2, 1, 5, 4, 1, 5, 0, 3, 8, 3, 1, 1, 6, 7, 2, 8, 4, 7, 7, 0, 9, 3, 6, 3, 4, 6, 0, 6, 1, 3 (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: -1.6524280450417421424058918662580123...

positive:  2.980645279438536834594908905579032175...

MATHEMATICA

a = 1; b = 2; 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}}]

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

RealDigits[r]  (* A199180 *)

r = x /. FindRoot[f[x] == g[x], {x, 2.98, 2.99}, WorkingPrecision -> 110]

RealDigits[r]  (* A199181 *)

CROSSREFS

Cf. A199170.

Sequence in context: A063381 A019078 A205384 * A011071 A329992 A125124

Adjacent sequences:  A199178 A199179 A199180 * A199182 A199183 A199184

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified February 24 07:19 EST 2020. Contains 332199 sequences. (Running on oeis4.)