A198505 Decimal expansion of x>0 having 4*x^2+x=2*sin(x).

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

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=0.24501240424626150140824530683681113444...

Mathematica

a = 4; b = 1; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, .4}]
r = x /. FindRoot[f[x] == g[x], {x, .24, .25}, WorkingPrecision -> 110]
RealDigits[r] (* A198505 *)

Crossrefs

Cf. A198414.

Sequence in context: A065975 A373690 A089420 * A173163 A021412 A258066

Adjacent sequences: A198502 A198503 A198504 * A198506 A198507 A198508

Keyword

nonn,cons

Author

Clark Kimberling, Oct 25 2011

Status

approved