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A199953 Decimal expansion of least x satisfying x^2 + cos(x) = 4*sin(x). 3
2, 6, 1, 5, 7, 3, 9, 3, 6, 4, 7, 4, 8, 1, 1, 3, 0, 2, 1, 2, 2, 9, 6, 4, 2, 0, 1, 7, 8, 3, 1, 2, 1, 1, 6, 0, 3, 9, 7, 8, 2, 8, 5, 9, 1, 3, 8, 4, 8, 6, 7, 6, 7, 1, 5, 3, 4, 2, 1, 3, 6, 8, 5, 6, 7, 6, 5, 2, 1, 0, 9, 0, 9, 6, 7, 0, 9, 2, 1, 2, 9, 5, 8, 5, 1, 2, 1, 9, 9, 4, 6, 8, 6, 6, 9, 1, 3, 7, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199949 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..10000

EXAMPLE

least x:  0.26157393647481130212296420178312116039782...

greatest x: 2.011137342229330846002506540879639388630...

MATHEMATICA

a = 1; b = 1; c = 4;

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

Plot[{f[x], g[x]}, {x, -1, 3}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .26, .27}, WorkingPrecision -> 110]

RealDigits[r]  (* A199953 *)

r = x /. FindRoot[f[x] == g[x], {x, 2.0, 2.1}, WorkingPrecision -> 110]

RealDigits[r]  (* A199954 *)

PROG

(PARI) a=1; b=1; c=4; solve(x=0, .5, a*x^2 + b*cos(x) - c*sin(x)) \\ G. C. Greubel, Jun 22 2018

CROSSREFS

Cf. A199949.

Sequence in context: A220959 A243434 A265416 * A076039 A280580 A288872

Adjacent sequences:  A199950 A199951 A199952 * A199954 A199955 A199956

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 12 2011

STATUS

approved

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Last modified September 20 12:43 EDT 2019. Contains 327238 sequences. (Running on oeis4.)