A198563 Decimal expansion of x>0 having 3*x^2-2x=4*sin(x).

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

Offset

1,2

Comments

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

Links

Table of n, a(n) for n=1..99.

Example

x=1.5348248675821649336248284778059378889111...

Mathematica

a = 3; b = -2; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.7}]
r = x /. FindRoot[f[x] == g[x], {x, 1.53, 1.54}, WorkingPrecision -> 110]
RealDigits[r] (* A198563 *)

Crossrefs

Cf. A198414.

Sequence in context: A021191 A185262 A104183 * A111889 A004494 A193090

Adjacent sequences: A198560 A198561 A198562 * A198564 A198565 A198566

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved