A198501 Decimal expansion of x>0 having 3*x^2=sin(x).

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

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=0.3274097742770375923356640810621082...

Mathematica

a = 3; b = 0; c = 1;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.5, .5}]
r = x /. FindRoot[f[x] == g[x], {x, .32, .33}, WorkingPrecision -> 110]
RealDigits[r] (* A198501 *)

Prog

(PARI) solve(x=.3, 1, sin(x)-3*x^2) \\ Charles R Greathouse IV, Mar 25 2015

Crossrefs

Cf. A198414.

Sequence in context: A075270 A067872 A318457 * A230072 A345947 A350001

Adjacent sequences: A198498 A198499 A198500 * A198502 A198503 A198504

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved