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A198345 Decimal expansion of least x having 3*x^2-4x=-cos(x). 3
3, 1, 0, 2, 5, 9, 1, 9, 1, 9, 1, 8, 5, 1, 0, 9, 6, 0, 7, 8, 1, 5, 9, 5, 5, 5, 9, 0, 4, 4, 2, 4, 2, 4, 4, 3, 9, 0, 2, 4, 3, 5, 6, 2, 4, 7, 4, 9, 9, 6, 9, 6, 4, 9, 6, 7, 1, 4, 2, 4, 6, 2, 1, 0, 0, 0, 7, 7, 5, 1, 5, 3, 2, 2, 5, 9, 1, 1, 4, 0, 6, 9, 7, 0, 4, 5, 7, 2, 9, 4, 8, 7, 1, 6, 7, 8, 4, 4, 7, 6, 7, 9 (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..101.

EXAMPLE

least x: 0.310259191918510960781595559044242...

greatest x: 1.2488922646362152688168422541979...

MATHEMATICA

a = 3; b = -4; c = -1;

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

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

r1 = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]

RealDigits[r1] (* A198345 *)

r2 = x /. FindRoot[f[x] == g[x], {x, 1.24, 1.25}, WorkingPrecision -> 110]

RealDigits[r2] (* A198346 *)

CROSSREFS

Cf. A197737.

Sequence in context: A307765 A308077 A336344 * A104416 A194582 A324173

Adjacent sequences:  A198342 A198343 A198344 * A198346 A198347 A198348

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Oct 23 2011

STATUS

approved

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Last modified December 4 12:44 EST 2021. Contains 349523 sequences. (Running on oeis4.)