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A200227 Decimal expansion of least x satisfying 3*x^2 - cos(x) = 4*sin(x), negated. 3
2, 1, 2, 2, 0, 7, 2, 6, 1, 5, 9, 7, 9, 1, 8, 2, 9, 8, 9, 7, 8, 2, 3, 7, 4, 0, 5, 0, 1, 0, 3, 7, 5, 4, 0, 3, 7, 3, 2, 0, 7, 9, 1, 5, 7, 5, 0, 6, 1, 9, 7, 1, 1, 7, 0, 2, 4, 0, 1, 5, 1, 2, 3, 5, 4, 5, 2, 5, 4, 6, 3, 6, 4, 7, 4, 6, 8, 2, 1, 5, 3, 4, 7, 1, 5, 8, 9, 5, 1, 0, 6, 7, 2, 1, 5, 0, 0, 5, 7 (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: -0.21220726159791829897823740501037540...

greatest x: 1.164720132600086548144173603917629...

MATHEMATICA

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

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

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

r = x /.FindRoot[f[x] == g[x], {x, -.22, -.21}, WorkingPrecision -> 110]

RealDigits[r]   (* A200227 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]

RealDigits[r]   (* A200228 *)

PROG

(PARI) a=3; b=-1; c=4; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 30 2018

CROSSREFS

Cf. A199949.

Sequence in context: A253183 A108804 A284467 * A316230 A127249 A127251

Adjacent sequences:  A200224 A200225 A200226 * A200228 A200229 A200230

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 14 2011

STATUS

approved

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Last modified January 19 15:37 EST 2020. Contains 331049 sequences. (Running on oeis4.)