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A199453 Decimal expansion of x>0 satisfying 3*x^2+3*x*sin(x)=2*cos(x). 2
5, 4, 1, 0, 7, 0, 8, 3, 0, 7, 2, 2, 7, 3, 2, 2, 4, 3, 2, 7, 3, 6, 4, 5, 7, 3, 9, 1, 0, 9, 5, 1, 7, 7, 2, 9, 9, 2, 7, 9, 0, 2, 7, 8, 5, 3, 7, 8, 9, 3, 0, 7, 7, 8, 6, 2, 0, 3, 7, 6, 2, 3, 2, 0, 6, 0, 7, 7, 0, 4, 4, 8, 6, 7, 9, 0, 1, 2, 5, 4, 9, 1, 3, 9, 6, 1, 9, 8, 4, 5, 5, 8, 5, 1, 3, 6, 9, 2, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

See A199370 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

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

EXAMPLE

x=0.541070830722732243273645739109517729927902...

MATHEMATICA

a = 3; b = 3; c = 2;

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

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

r = x /. FindRoot[f[x] == g[x], {x, .54, .55}, WorkingPrecision -> 110]

RealDigits[r]  (* A199453 *)

CROSSREFS

Cf. A199429.

Sequence in context: A325221 A129522 A133842 * A245699 A115637 A124602

Adjacent sequences:  A199450 A199451 A199452 * A199454 A199455 A199456

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 06 2011

STATUS

approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)