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A199172 Decimal expansion of x<0 satisfying x^2+x*cos(x)=2. 3
1, 4, 6, 6, 9, 7, 8, 3, 0, 5, 3, 9, 7, 1, 2, 3, 5, 6, 8, 4, 1, 9, 8, 1, 4, 1, 8, 4, 7, 8, 0, 4, 4, 4, 3, 1, 8, 9, 1, 2, 0, 2, 2, 5, 9, 1, 2, 6, 4, 3, 2, 3, 3, 8, 6, 6, 0, 8, 0, 5, 7, 9, 9, 8, 2, 4, 7, 9, 0, 7, 3, 7, 0, 7, 2, 7, 4, 7, 7, 3, 6, 9, 5, 1, 1, 2, 1, 2, 2, 2, 7, 9, 9, 9, 9, 4, 2, 4, 8 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

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: -1.4669783053971235684198141847804443...

positive:  1.2766713679407605540915074904412102...

MATHEMATICA

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

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, -1.5, -1.3}, WorkingPrecision -> 110]

RealDigits[r]  (* A199172 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.27, .28}, WorkingPrecision -> 110]

RealDigits[r]  (* A199173 *)

CROSSREFS

Cf. A199170.

Sequence in context: A247677 A306811 A201775 * A323674 A183986 A160995

Adjacent sequences:  A199169 A199170 A199171 * A199173 A199174 A199175

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 04 2011

STATUS

approved

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Last modified October 20 22:44 EDT 2019. Contains 328291 sequences. (Running on oeis4.)