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A199292 Decimal expansion of x>0 satisfying 3*x^2+3*x*cos(x)=1. 3
2, 7, 0, 1, 5, 0, 2, 8, 9, 6, 3, 1, 8, 0, 3, 2, 5, 8, 0, 2, 0, 9, 7, 7, 8, 4, 6, 1, 2, 6, 9, 8, 6, 0, 4, 4, 6, 0, 7, 8, 8, 6, 9, 5, 1, 4, 6, 6, 2, 3, 2, 3, 5, 2, 8, 3, 8, 1, 5, 8, 4, 6, 7, 7, 6, 1, 8, 7, 5, 8, 8, 2, 1, 3, 0, 7, 1, 2, 3, 6, 4, 2, 1, 7, 1, 3, 3, 4, 7, 2, 5, 8, 6, 4, 3, 8, 3, 1, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

negative: -0.942013171745925470278385478816333...

positive:  0.2701502896318032580209778461269860...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]

RealDigits[r]     (* A199291 *)

r = x /. FindRoot[f[x] == g[x], {x, .27, .28}, WorkingPrecision -> 110]

RealDigits[r]    (* A199292 *)

CROSSREFS

Cf. A199170.

Sequence in context: A111953 A260929 A290789 * A152779 A247373 A021041

Adjacent sequences:  A199289 A199290 A199291 * A199293 A199294 A199295

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 05 2011

STATUS

approved

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Last modified February 24 07:05 EST 2020. Contains 332199 sequences. (Running on oeis4.)