

A198507


Decimal expansion of x>0 having 4*x^2+x=4*sin(x).


2



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

0,1


COMMENTS

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


LINKS

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


EXAMPLE

x=0.675636871457341375789660214119996117293599...


MATHEMATICA

a = 4; b = 1; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, .2, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .67, .68}, WorkingPrecision > 110]
RealDigits[r] (* A198507 *)


CROSSREFS

Cf. A198414.
Sequence in context: A355336 A190648 A201519 * A021152 A199720 A157122
Adjacent sequences: A198504 A198505 A198506 * A198508 A198509 A198510


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Oct 25 2011


STATUS

approved



