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A200277 Decimal expansion of least x satisfying 3*x^2 - 4*cos(x) = sin(x), negated. 3
8, 1, 7, 7, 1, 5, 2, 1, 8, 7, 9, 2, 3, 0, 4, 5, 4, 5, 1, 1, 1, 9, 1, 4, 5, 4, 2, 0, 8, 3, 6, 5, 7, 7, 7, 1, 5, 3, 9, 3, 9, 1, 6, 5, 1, 3, 2, 7, 1, 2, 0, 1, 5, 3, 7, 2, 7, 9, 0, 7, 5, 0, 9, 9, 8, 6, 2, 4, 1, 4, 4, 1, 9, 7, 2, 7, 4, 5, 8, 0, 2, 7, 4, 7, 1, 3, 8, 1, 9, 8, 3, 6, 2, 7, 8, 7, 2, 9, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199949 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

EXAMPLE

least x: -0.81771521879230454511191454208365777...

greatest x: 1.000303639283590185187225035744180...

MATHEMATICA

a = 3; b = -4; c = 1;

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

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

r = x /.  FindRoot[f[x] == g[x], {x, -.82, -.81}, WorkingPrecision -> 110]

RealDigits[r]   (* A200277  *)

r = x /. FindRoot[f[x] == g[x], {x, 1.0, 1.1}, WorkingPrecision -> 110]

RealDigits[r]   (* A200278 *)

PROG

(PARI) a=3; b=-4; c=1; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 05 2018

CROSSREFS

Cf. A199949.

Sequence in context: A245280 A200585 A301908 * A242024 A159642 A234614

Adjacent sequences:  A200274 A200275 A200276 * A200278 A200279 A200280

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 15 2011

STATUS

approved

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Last modified February 16 20:45 EST 2019. Contains 320189 sequences. (Running on oeis4.)