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A199793 Decimal expansion of x > 0 satisfying 3*x^2 - 2*x*cos(x) = sin(x). 2
7, 7, 6, 4, 4, 3, 1, 0, 8, 9, 0, 3, 8, 3, 8, 1, 0, 1, 9, 0, 9, 6, 6, 9, 9, 4, 9, 1, 6, 2, 9, 8, 2, 8, 8, 7, 9, 1, 8, 0, 0, 5, 1, 4, 7, 8, 0, 9, 6, 9, 7, 4, 8, 0, 0, 4, 9, 6, 7, 4, 3, 2, 3, 2, 8, 0, 2, 5, 3, 5, 0, 0, 9, 6, 6, 9, 9, 4, 8, 0, 5, 6, 9, 3, 4, 9, 4, 0, 5, 2, 8, 4, 9, 8, 9, 3, 2, 7, 5 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199597 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

0.77644310890383810190966994916298288791800514780...

MATHEMATICA

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

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

Plot[{f[x], g[x]}, {x, -1, 2}, {AxesOrigin -> {0, 0}}]

r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]

RealDigits[r]   (* A199793 *)

CROSSREFS

Cf. A199597.

Sequence in context: A177436 A318139 A334850 * A202949 A019787 A093202

Adjacent sequences:  A199790 A199791 A199792 * A199794 A199795 A199796

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 10 2011

EXTENSIONS

a(96) onwards corrected by Georg Fischer, Aug 03 2021

STATUS

approved

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Last modified September 25 16:17 EDT 2021. Contains 347658 sequences. (Running on oeis4.)