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A200101 Decimal expansion of least x satisfying x^2 - 4*cos(x) = 2*sin(x), negated. 3
9, 1, 7, 7, 0, 1, 3, 1, 5, 8, 3, 1, 6, 0, 0, 4, 7, 5, 1, 7, 0, 5, 2, 4, 3, 9, 0, 9, 5, 3, 9, 2, 1, 4, 8, 7, 7, 1, 8, 1, 9, 6, 1, 1, 6, 8, 5, 9, 0, 0, 5, 7, 1, 1, 5, 1, 0, 0, 4, 8, 9, 0, 0, 2, 2, 4, 8, 9, 4, 4, 8, 7, 9, 0, 0, 7, 1, 1, 5, 4, 2, 2, 3, 0, 2, 3, 3, 9, 9, 7, 4, 4, 0, 5, 8, 6, 8, 6, 8 (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:  -0.91770131583160047517052439095392148771...

greatest x: 1.50407436560390845625770968131259727...

MATHEMATICA

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

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, -.92, -.91}, WorkingPrecision -> 110]

RealDigits[r]  (* A200101 *)

r = x /. FindRoot[f[x] == g[x], {x, 1.5, 1.6}, WorkingPrecision -> 110]

RealDigits[r]  (* A200102 *)

PROG

(PARI) a=1; b=-4; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 25 2018

CROSSREFS

Cf. A199949.

Sequence in context: A021113 A019948 A154207 * A084002 A339605 A182494

Adjacent sequences:  A200098 A200099 A200100 * A200102 A200103 A200104

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 13 2011

STATUS

approved

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Last modified June 13 00:57 EDT 2021. Contains 344980 sequences. (Running on oeis4.)