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A198238 Decimal expansion of least x having 3*x^2+4x=2*cos(x). 3
1, 4, 0, 9, 3, 6, 3, 9, 2, 1, 6, 3, 5, 7, 7, 7, 8, 4, 4, 7, 7, 2, 8, 6, 9, 3, 6, 8, 8, 0, 1, 5, 3, 9, 7, 9, 5, 1, 1, 7, 7, 3, 5, 0, 3, 8, 5, 9, 2, 6, 5, 8, 5, 5, 0, 3, 9, 0, 2, 5, 4, 6, 5, 2, 1, 7, 9, 0, 0, 3, 7, 0, 4, 7, 8, 5, 6, 4, 0, 7, 7, 3, 9, 9, 1, 4, 4, 8, 5, 5, 7, 3, 0, 5, 7, 4, 4, 2, 9 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A197737 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

least x: -1.40936392163577784477286936880153979511...

greatest x: 0.36624081566046371838415818869764440...

MATHEMATICA

a = 3; b = 4; c = 2;

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

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

r1 = x /. FindRoot[f[x] == g[x], {x, -1.5, -1.4}, WorkingPrecision -> 110]

RealDigits[r1](* A198238 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .36, .37}, WorkingPrecision -> 110]

RealDigits[r2](* A198239 *)

CROSSREFS

Cf. A197737.

Sequence in context: A339530 A200591 A133844 * A344716 A187377 A187155

Adjacent sequences:  A198235 A198236 A198237 * A198239 A198240 A198241

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 23 2011

STATUS

approved

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Last modified October 23 14:42 EDT 2021. Contains 348214 sequences. (Running on oeis4.)