

A199461


Decimal expansion of x>0 satisfying x^22*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
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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



