A198562 Decimal expansion of x>0 having 3*x^2-2x=3*sin(x).

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

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=1.3786609481995491930525568542759041256182467...

Mathematica

a = 3; b = -2; c = 3;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 1.5}]
r = x /. FindRoot[f[x] == g[x], {x, 1.37, 1.38}, WorkingPrecision -> 110]
RealDigits[r] (* A198562 *)

Crossrefs

Cf. A198414.

Sequence in context: A199712 A173257 A103560 * A244334 A011398 A317850

Adjacent sequences: A198559 A198560 A198561 * A198563 A198564 A198565

Keyword

nonn,cons

Author

Clark Kimberling, Oct 26 2011

Status

approved