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A198364 Decimal expansion of greatest x having 4*x^2+3x=2*cos(x). 3
4, 0, 0, 3, 0, 3, 9, 9, 5, 2, 5, 5, 1, 8, 5, 9, 1, 4, 6, 3, 0, 6, 3, 7, 1, 8, 6, 8, 3, 4, 2, 0, 3, 5, 7, 2, 4, 6, 4, 1, 5, 2, 9, 6, 5, 1, 0, 7, 0, 7, 9, 4, 9, 2, 4, 4, 3, 2, 3, 2, 8, 6, 3, 4, 2, 8, 9, 9, 3, 8, 5, 5, 3, 3, 2, 2, 1, 0, 4, 0, 7, 9, 7, 1, 9, 7, 5, 3, 3, 2, 5, 6, 9, 3, 1, 9, 2, 8, 6 (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: -1.0119640719541596551643922516868104...

greatest x: 0.4003039952551859146306371868342035...

MATHEMATICA

a = 4; b = 3; 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, -1.1, -1.0}, WorkingPrecision -> 110]

RealDigits[r1] (* A198363 *)

r2 = x /. FindRoot[f[x] == g[x], {x, .4, .41}, WorkingPrecision -> 110]

RealDigits[r2] (* A198364 *)

CROSSREFS

Cf. A197737.

Sequence in context: A058305 A193717 A020808 * A325492 A266270 A091467

Adjacent sequences:  A198361 A198362 A198363 * A198365 A198366 A198367

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 24 2011

STATUS

approved

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Last modified October 23 23:51 EDT 2019. Contains 328379 sequences. (Running on oeis4.)