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A198098 Decimal expansion of least x having x^2-3x=-2*cos(x). 3
6, 7, 2, 2, 5, 5, 1, 6, 7, 7, 3, 8, 2, 5, 6, 8, 8, 0, 7, 4, 8, 6, 0, 4, 6, 1, 7, 8, 7, 0, 3, 2, 5, 9, 7, 6, 6, 5, 7, 5, 0, 9, 3, 6, 8, 2, 1, 3, 9, 8, 1, 8, 9, 5, 5, 0, 1, 7, 7, 5, 2, 3, 5, 7, 8, 1, 1, 2, 9, 5, 4, 4, 7, 2, 1, 2, 4, 8, 1, 8, 8, 7, 8, 6, 0, 8, 5, 0, 8, 3, 4, 5, 5, 2, 9, 9, 8, 0, 4 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

Table of n, a(n) for n=0..98.

EXAMPLE

least x: 0.672255167738256880748604617870325976...

greatest x: 3.525867901227958617954825081711394...

MATHEMATICA

a = 1; b = -3; c = -2;

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

Plot[{f[x], g[x]}, {x, 0, 4}]

r1 = x /. FindRoot[f[x] == g[x], {x, .65, .68}, WorkingPrecision -> 110]

RealDigits[r1] (* A198098 *)

r2 = x /. FindRoot[f[x] == g[x], {x, 3.5, 3.6}, WorkingPrecision -> 110]

RealDigits[r2] (* A198099 *)

CROSSREFS

Cf. A197737.

Sequence in context: A156918 A123154 A021602 * A021941 A171654 A197916

Adjacent sequences:  A198095 A198096 A198097 * A198099 A198100 A198101

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 21 2011

STATUS

approved

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Last modified February 21 06:40 EST 2019. Contains 320371 sequences. (Running on oeis4.)