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A199268 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=3. 3
1, 1, 2, 0, 8, 2, 7, 8, 9, 9, 0, 7, 2, 4, 6, 4, 1, 0, 5, 0, 1, 0, 8, 0, 2, 6, 5, 5, 1, 2, 3, 8, 2, 4, 4, 1, 4, 8, 4, 1, 5, 4, 0, 8, 0, 2, 6, 3, 1, 7, 7, 8, 5, 0, 7, 9, 0, 8, 7, 2, 0, 2, 4, 4, 4, 0, 8, 1, 6, 1, 3, 3, 0, 6, 8, 0, 5, 0, 0, 7, 0, 6, 7, 6, 8, 3, 8, 6, 1, 2, 6, 1, 6, 1, 9, 2, 9, 2, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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: -1.29477176551027054190068103147021856144266...

positive:  1.120827899072464105010802655123824414841540...

MATHEMATICA

a = 2; b = 1; c = 3;

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

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

r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]

RealDigits[r]    (* A199267 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.12, 1.13}, WorkingPrecision -> 110]

RealDigits[r]    (* A199268 *)

CROSSREFS

Cf. A199170.

Sequence in context: A109573 A305809 A159810 * A268499 A298522 A206436

Adjacent sequences:  A199265 A199266 A199267 * A199269 A199270 A199271

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified May 25 19:29 EDT 2019. Contains 323576 sequences. (Running on oeis4.)