

A198569


Decimal expansion of x>0 satisfying 2*x^23x=4*sin(x).


2



2, 2, 1, 8, 7, 2, 9, 3, 7, 4, 8, 7, 5, 6, 3, 8, 2, 6, 7, 3, 3, 6, 7, 8, 2, 5, 8, 6, 8, 3, 7, 6, 2, 5, 7, 1, 8, 9, 2, 0, 1, 6, 5, 0, 0, 6, 8, 2, 0, 5, 8, 6, 4, 3, 0, 3, 9, 0, 7, 6, 1, 4, 0, 5, 4, 5, 9, 4, 1, 9, 4, 9, 4, 4, 1, 4, 5, 2, 5, 3, 9, 5, 4, 4, 7, 7, 1, 5, 3, 9, 8, 5, 8, 2, 2, 8, 6, 0, 4
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OFFSET

1,1


COMMENTS

See A198414 for a guide to related sequences. The Mathematica program includes a graph.


LINKS

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


EXAMPLE

x=2.21872937487563826733678258683762571892016...


MATHEMATICA

a = 2; b = 3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, .2, 2.4}]
r = x /. FindRoot[f[x] == g[x], {x, 2.21, 2.22}, WorkingPrecision > 110]
RealDigits[r] (* A198569 *)


CROSSREFS

Cf. A198414.
Sequence in context: A096440 A181738 A121350 * A135080 A238182 A117260
Adjacent sequences: A198566 A198567 A198568 * A198570 A198571 A198572


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Oct 27 2011


STATUS

approved



