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A198365 Decimal expansion of least x having 4*x^2+3x=3*cos(x). 3
1, 0, 7, 8, 5, 9, 7, 1, 0, 9, 5, 6, 8, 8, 5, 8, 1, 1, 1, 7, 1, 8, 0, 8, 5, 4, 1, 8, 6, 3, 3, 0, 1, 1, 1, 6, 6, 7, 3, 5, 9, 6, 9, 2, 8, 3, 0, 7, 4, 9, 8, 8, 8, 0, 6, 3, 6, 7, 3, 4, 7, 6, 2, 1, 9, 2, 7, 5, 0, 2, 2, 0, 9, 4, 3, 8, 5, 3, 7, 7, 2, 3, 7, 1, 1, 8, 9, 7, 0, 5, 1, 5, 9, 6, 7, 2, 4, 8, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

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: -1.0785971095688581117180854186330111...

greatest x: 0.51557881116466232291676062200909...

MATHEMATICA

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

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, -1.1, -1.0}, WorkingPrecision -> 110]

RealDigits[r1] (* A198365 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]

RealDigits[r2] (* A198366 *)

CROSSREFS

Cf. A197737.

Sequence in context: A021564 A021060 A117239 * A262898 A256045 A004496

Adjacent sequences:  A198362 A198363 A198364 * A198366 A198367 A198368

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 24 2011

STATUS

approved

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Last modified October 23 17:32 EDT 2019. Contains 328373 sequences. (Running on oeis4.)