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A198234 Decimal expansion of least x having 3*x^2+3x=4*cos(x). 3
1, 2, 8, 8, 3, 8, 9, 2, 3, 7, 3, 2, 2, 8, 2, 6, 9, 2, 0, 4, 4, 6, 9, 5, 3, 7, 6, 1, 9, 8, 4, 1, 5, 2, 6, 3, 6, 5, 4, 6, 9, 2, 7, 5, 3, 7, 0, 8, 5, 4, 5, 5, 9, 2, 9, 1, 2, 6, 9, 9, 7, 2, 0, 6, 3, 6, 3, 3, 2, 7, 2, 4, 5, 6, 6, 2, 9, 8, 9, 2, 8, 5, 0, 3, 6, 9, 9, 0, 3, 4, 9, 0, 3, 7, 6, 8, 8, 6, 0 (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: -1.28838923732282692044695376198415263654...

greatest x: 0.646435567527722588379133828108743889...

MATHEMATICA

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

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, -1.3, -1.2}, WorkingPrecision -> 110]

RealDigits[r1](* A198234 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .64, .65}, WorkingPrecision -> 110]

RealDigits[r2](* A198235 *)

CROSSREFS

Cf. A197737.

Sequence in context: A282791 A242168 A011288 * A197385 A010596 A131920

Adjacent sequences:  A198231 A198232 A198233 * A198235 A198236 A198237

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 23 2011

STATUS

approved

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Last modified October 15 17:45 EDT 2021. Contains 348033 sequences. (Running on oeis4.)