A198507 Decimal expansion of x>0 having 4*x^2+x=4*sin(x).

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

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