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A199463 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=3*cos(x). 2
1, 7, 1, 9, 4, 7, 9, 3, 6, 6, 6, 5, 1, 9, 3, 4, 7, 2, 7, 4, 8, 4, 2, 9, 8, 6, 8, 3, 7, 6, 4, 3, 2, 6, 5, 8, 7, 2, 0, 0, 7, 1, 1, 8, 4, 3, 8, 3, 2, 9, 8, 2, 1, 6, 7, 8, 0, 0, 7, 0, 5, 4, 3, 4, 0, 4, 3, 2, 7, 8, 6, 5, 9, 7, 4, 2, 4, 2, 8, 7, 1, 4, 9, 9, 3, 5, 7, 8, 6, 1, 4, 1, 7, 4, 0, 1, 4, 3, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

See A199429 for a guide to related sequences.  The Mathematica program includes a graph.

LINKS

Table of n, a(n) for n=1..99.

EXAMPLE

x=1.719479366651934727484298683764326587200711843...

MATHEMATICA

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

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, 1.71, 1.72}, WorkingPrecision -> 110]

RealDigits[r]  (* A199463 *)

CROSSREFS

Cf. A199429.

Sequence in context: A021143 A153870 A176437 * A086722 A296848 A282823

Adjacent sequences:  A199460 A199461 A199462 * A199464 A199465 A199466

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 07 2011

STATUS

approved

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Last modified December 15 20:00 EST 2019. Contains 330000 sequences. (Running on oeis4.)