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A199461 Decimal expansion of x>0 satisfying x^2-2*x*sin(x)=cos(x). 2
1, 8, 1, 1, 1, 1, 0, 8, 1, 4, 2, 4, 8, 3, 1, 9, 7, 6, 2, 7, 9, 6, 5, 4, 9, 7, 0, 9, 7, 5, 6, 7, 2, 9, 6, 1, 7, 6, 9, 1, 0, 3, 1, 2, 5, 8, 1, 3, 5, 3, 4, 3, 1, 2, 9, 4, 9, 2, 7, 3, 5, 6, 4, 4, 6, 3, 4, 5, 4, 9, 8, 0, 6, 3, 7, 3, 5, 5, 8, 2, 7, 5, 1, 0, 0, 2, 7, 3, 9, 7, 7, 6, 1, 4, 2, 6, 9, 6, 5 (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=1.811110814248319762796549709756729617691031258...

MATHEMATICA

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

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, 1.81, 1.82}, WorkingPrecision -> 110]

RealDigits[r]  (* A199461 *)

CROSSREFS

Cf. A199429.

Sequence in context: A095886 A325222 A076346 * A056191 A103760 A268355

Adjacent sequences:  A199458 A199459 A199460 * A199462 A199463 A199464

KEYWORD

nonn,cons

AUTHOR

Clark Kimberling, Nov 07 2011

STATUS

approved

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Last modified December 5 12:24 EST 2021. Contains 349557 sequences. (Running on oeis4.)