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A200024 Decimal expansion of least x satisfying x^2 - 2*cos(x) = 4*sin(x), negated. 3
4, 2, 3, 5, 2, 7, 2, 9, 4, 7, 1, 8, 6, 9, 1, 1, 6, 1, 8, 5, 7, 4, 1, 1, 5, 5, 5, 0, 9, 6, 9, 2, 8, 8, 3, 4, 0, 2, 6, 1, 3, 5, 4, 6, 3, 4, 7, 0, 2, 5, 0, 3, 2, 6, 3, 0, 0, 0, 1, 8, 3, 3, 2, 6, 9, 9, 7, 3, 3, 7, 4, 3, 5, 0, 7, 9, 3, 7, 1, 8, 8, 5, 4, 1, 2, 8, 7, 9, 0, 5, 6, 9, 6, 1, 6, 7, 8, 1, 2 (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:  -0.42352729471869116185741155509692883402...

greatest x: 1.8307334532908635992102359547341478845366...

MATHEMATICA

a = 1; b = -2; c = 4;

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, -.43, -.42}, WorkingPrecision -> 110]

RealDigits[r]  (* A200024 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.83, 1.84}, WorkingPrecision -> 110]

RealDigits[r]  (* A200025 *)

PROG

(PARI) a=1; b=-2; c=4; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 24 2018

CROSSREFS

Cf. A199949.

Sequence in context: A034927 A316257 A274791 * A247206 A228047 A188543

Adjacent sequences:  A200021 A200022 A200023 * A200025 A200026 A200027

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 13 2011

EXTENSIONS

a(87)-a(98) corrected by G. C. Greubel, Jun 24 2018

STATUS

approved

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Last modified August 20 03:48 EDT 2019. Contains 326139 sequences. (Running on oeis4.)