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A200012 Decimal expansion of least x satisfying x^2 - cos(x) = 2*sin(x) (negated). 3
3, 9, 4, 1, 2, 4, 1, 9, 2, 8, 5, 8, 9, 7, 5, 9, 6, 0, 0, 9, 9, 7, 0, 5, 3, 9, 9, 3, 5, 4, 5, 9, 0, 0, 9, 8, 5, 3, 6, 9, 2, 2, 4, 9, 6, 1, 9, 3, 9, 1, 2, 2, 9, 7, 9, 2, 1, 9, 8, 4, 8, 1, 1, 6, 8, 5, 3, 1, 1, 8, 7, 4, 1, 7, 6, 0, 2, 4, 8, 1, 7, 9, 3, 5, 8, 3, 4, 5, 6, 0, 3, 0, 7, 1, 7, 9, 2, 1, 5 (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:  -0.3941241928589759600997053993545900...

greatest x: 1.450938449634974431128285576690357738...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]

RealDigits[r]   (* A200012 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]

RealDigits[r]   (* A200013 *)

PROG

(PARI) a=1; b=-1; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 23 2018

CROSSREFS

Cf. A199949.

Sequence in context: A120982 A293634 A125143 * A130701 A202021 A197507

Adjacent sequences:  A200009 A200010 A200011 * A200013 A200014 A200015

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 12 2011

STATUS

approved

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Last modified September 20 10:10 EDT 2019. Contains 327229 sequences. (Running on oeis4.)