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A199796 Decimal expansion of x>0 satisfying 3*x^2-x*cos(x)=2*sin(x). 2
8, 2, 1, 2, 9, 7, 2, 1, 5, 5, 5, 5, 7, 4, 6, 2, 4, 9, 3, 2, 3, 2, 7, 1, 2, 7, 6, 5, 3, 2, 9, 1, 5, 9, 2, 1, 8, 0, 7, 9, 1, 5, 5, 7, 7, 6, 3, 7, 3, 4, 0, 8, 0, 9, 1, 3, 2, 3, 6, 8, 5, 9, 7, 6, 1, 7, 8, 6, 4, 2, 0, 7, 8, 4, 0, 9, 9, 2, 3, 5, 4, 5, 4, 6, 0, 0, 4, 5, 9, 1, 3, 6, 1, 5, 7, 2, 2, 3, 8 (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

x=0.8212972155557462493232712765329159218079155...

MATHEMATICA

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

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

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

r = x /. FindRoot[f[x] == g[x], {x, .82, .83}, WorkingPrecision -> 110]

RealDigits[r]   (* A199796 *)

CROSSREFS

Cf. A199597.

Sequence in context: A164800 A011008 A010149 * A021553 A157472 A179640

Adjacent sequences:  A199793 A199794 A199795 * A199797 A199798 A199799

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 10 2011

STATUS

approved

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Last modified January 19 03:18 EST 2020. Contains 331031 sequences. (Running on oeis4.)