A198556 Decimal expansion of x>0 having 4*x^2-x=3*sin(x).

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

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=0.90229597568737098167152699747985244211191...

Mathematica

a = 4; b = -1; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.1, 1}]
r = x /. FindRoot[f[x] == g[x], {x, .90, .91}, WorkingPrecision -> 110]
RealDigits[r] (* A198556 *)

Crossrefs

Cf. A198414.

Sequence in context: A089481 A188593 A065421 * A261169 A093767 A199175

Adjacent sequences: A198553 A198554 A198555 * A198557 A198558 A198559

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved