A198561 Decimal expansion of x>0 having 3*x^2-2x=2*sin(x).

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

Offset

1,3

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=1.1873640661952458347249030112710039562466150...

Mathematica

a = 3; b = -2; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.3}]
r = x /. FindRoot[f[x] == g[x], {x, 1.18, 1.19}, WorkingPrecision -> 110]
RealDigits[r] (* A198561 *)

Crossrefs

Cf. A198414.

Sequence in context: A257581 A182499 A358943 * A086253 A225119 A094883

Adjacent sequences: A198558 A198559 A198560 * A198562 A198563 A198564

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved