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A200287 Decimal expansion of least x satisfying 4*x^2 - cos(x) = 2*sin(x), negated. 3
3, 0, 0, 9, 3, 1, 8, 8, 5, 4, 2, 1, 9, 0, 2, 3, 7, 0, 0, 3, 1, 0, 0, 6, 2, 4, 0, 7, 1, 7, 5, 1, 4, 9, 5, 6, 3, 1, 9, 8, 7, 9, 8, 0, 3, 3, 2, 2, 2, 6, 8, 8, 4, 5, 0, 8, 3, 5, 0, 3, 3, 3, 7, 2, 3, 5, 3, 1, 6, 0, 8, 9, 4, 3, 2, 6, 1, 3, 9, 1, 9, 2, 8, 1, 6, 6, 5, 7, 1, 9, 5, 2, 0, 1, 6, 2, 3, 0, 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
EXAMPLE
least x: -0.300931885421902370031006240717514956...
greatest x: 0.7193842604598758321075524115913806...
MATHEMATICA
a = 4; b = -1; c = 2;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.31, -.30}, WorkingPrecision -> 110]
RealDigits[r] (* A200287 *)
r = x /. FindRoot[f[x] == g[x], {x, .71, .72}, WorkingPrecision -> 110]
RealDigits[r] (* A200288 *)
PROG
(PARI) a=4; b=-1; c=2; solve(x=-1, 0, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jul 07 2018
CROSSREFS
Cf. A199949.
Sequence in context: A343236 A363767 A011073 * A216469 A319359 A104751
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 15 2011
STATUS
approved

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Last modified March 28 07:20 EDT 2024. Contains 371235 sequences. (Running on oeis4.)